<image>As shown in the figure, it is known that the graphs of the functions $$y_{1}=k_{1}x$$ and $$y_{2}=k_{2}x^{-1}$$ intersect at points $$A$$ and $$B$$, with $$AB=10$$. A line is drawn through point $$A$$ perpendicular to the $$x$$-axis, intersecting the axis at point $$E$$, where $$AE=4$$. Find the value of $$k_{1}k_{2}$$. The value is ______.