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Finding the Fourth Proportional to 7,702.29, 10,631.99 and 5,578.47

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Solution

The fourth proportional to 7,702.29, 10,631.99 and 5,578.47 is: 7,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.29 : 10,631.99 = 5,578.47 : x
  2. Step 2: Convert to fraction form
    7,702.29/10,631.99 = 5,578.47/x
  3. Step 3: Cross multiply
    7,702.29x = 10,631.99 × 5,578.47
  4. Step 4: Simplify right side
    7,702.29x = 59,310,251.20
  5. Step 5: Solve for x
    x = 59,310,251.20/7,702.29
  6. Step 6: Final answer
    x = 7,700.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.