4. (10 points) Each basketball game is divided into four quarters. In a certain game, Garcia took 20 shots in the first two quarters and made 12. In the third quarter, he took 10 shots, but his shooting percentage dropped to 50% of his overall shooting percentage from the first two quarters. In the last quarter, his shooting percentage improved by $\frac{1}{3}$ compared to the third quarter, and his overall shooting percentage for the game was 46%. How many shots did Garcia make in the fourth quarter? $\qquad$
【Solution】Solution: According to the analysis, the hit rate for the first two sections is: $\frac{12}{20} \times 100 \% = 60 \%$; the hit rate for the third section is: $50 \% \times 60 \% = 30 \%$, the number of successful shots is: $10 \times 30 \% = 3$ times;

The hit rate for the last section is: $\left(1+\frac{1}{3}\right) \times 30 \% = 40 \%$, let the number of successful shots in the fourth section be $n$, then the number of shots taken is: $\frac{n}{40 \%} = 2.5n$, according to the overall hit rate we get: $\frac{12+3+n}{20+10+2.5n} \times 100 \% = 46 \%$, solving for $n$ gives: $n=8$.

Therefore, the answer is: 8.