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Finding the Fourth Proportional to 10,149.92, 15,223.96 and 3,575.76

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Solution

The fourth proportional to 10,149.92, 15,223.96 and 3,575.76 is: 5,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.92 : 15,223.96 = 3,575.76 : x
  2. Step 2: Convert to fraction form
    10,149.92/15,223.96 = 3,575.76/x
  3. Step 3: Cross multiply
    10,149.92x = 15,223.96 × 3,575.76
  4. Step 4: Simplify right side
    10,149.92x = 54,437,227.21
  5. Step 5: Solve for x
    x = 54,437,227.21/10,149.92
  6. Step 6: Final answer
    x = 5,363.32

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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.