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Finding the Fourth Proportional to 10,149.57, 15,232.05 and 4,310.28

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Solution

The fourth proportional to 10,149.57, 15,232.05 and 4,310.28 is: 6,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.57 : 15,232.05 = 4,310.28 : x
  2. Step 2: Convert to fraction form
    10,149.57/15,232.05 = 4,310.28/x
  3. Step 3: Cross multiply
    10,149.57x = 15,232.05 × 4,310.28
  4. Step 4: Simplify right side
    10,149.57x = 65,654,400.47
  5. Step 5: Solve for x
    x = 65,654,400.47/10,149.57
  6. Step 6: Final answer
    x = 6,468.69

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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.