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Finding the Fourth Proportional to 10,049.92, 15,084.12 and 5,122.96

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Solution

The fourth proportional to 10,049.92, 15,084.12 and 5,122.96 is: 7,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.92 : 15,084.12 = 5,122.96 : x
  2. Step 2: Convert to fraction form
    10,049.92/15,084.12 = 5,122.96/x
  3. Step 3: Cross multiply
    10,049.92x = 15,084.12 × 5,122.96
  4. Step 4: Simplify right side
    10,049.92x = 77,275,343.40
  5. Step 5: Solve for x
    x = 77,275,343.40/10,049.92
  6. Step 6: Final answer
    x = 7,689.15

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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.