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Finding the Fourth Proportional to 10,545.25, 15,820.52 and 3,149.68

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Solution

The fourth proportional to 10,545.25, 15,820.52 and 3,149.68 is: 4,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.25 : 15,820.52 = 3,149.68 : x
  2. Step 2: Convert to fraction form
    10,545.25/15,820.52 = 3,149.68/x
  3. Step 3: Cross multiply
    10,545.25x = 15,820.52 × 3,149.68
  4. Step 4: Simplify right side
    10,545.25x = 49,829,575.43
  5. Step 5: Solve for x
    x = 49,829,575.43/10,545.25
  6. Step 6: Final answer
    x = 4,725.31

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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.