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Finding the Fourth Proportional to 10,052.92, 15,074.70 and 5,125.24

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Solution

The fourth proportional to 10,052.92, 15,074.70 and 5,125.24 is: 7,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.92 : 15,074.70 = 5,125.24 : x
  2. Step 2: Convert to fraction form
    10,052.92/15,074.70 = 5,125.24/x
  3. Step 3: Cross multiply
    10,052.92x = 15,074.70 × 5,125.24
  4. Step 4: Simplify right side
    10,052.92x = 77,261,455.43
  5. Step 5: Solve for x
    x = 77,261,455.43/10,052.92
  6. Step 6: Final answer
    x = 7,685.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.