If the ratio of Apples to Oranges is 5:3, this means for every 5 Apples, there are 3 oranges. With 15 Apples in the box, we can set up a proportion: ( \frac{15 \text{ Apples}}{x \text{ oranges}} = \frac{5}{3} ). Cross-multiplying gives ( 5x = 45 ), so ( x = 9 ). Therefore, there are 9 oranges in the box.
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