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Finding the Fourth Proportional to 10,149.40, 15,221.24 and 3,909

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Solution

The fourth proportional to 10,149.40, 15,221.24 and 3,909 is: 5,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.40 : 15,221.24 = 3,909 : x
  2. Step 2: Convert to fraction form
    10,149.40/15,221.24 = 3,909/x
  3. Step 3: Cross multiply
    10,149.40x = 15,221.24 × 3,909
  4. Step 4: Simplify right side
    10,149.40x = 59,499,827.16
  5. Step 5: Solve for x
    x = 59,499,827.16/10,149.40
  6. Step 6: Final answer
    x = 5,862.40

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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.