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Finding the Fourth Proportional to 10,532.43, 15,803.24 and 6,149.89

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Solution

The fourth proportional to 10,532.43, 15,803.24 and 6,149.89 is: 9,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.43 : 15,803.24 = 6,149.89 : x
  2. Step 2: Convert to fraction form
    10,532.43/15,803.24 = 6,149.89/x
  3. Step 3: Cross multiply
    10,532.43x = 15,803.24 × 6,149.89
  4. Step 4: Simplify right side
    10,532.43x = 97,188,187.64
  5. Step 5: Solve for x
    x = 97,188,187.64/10,532.43
  6. Step 6: Final answer
    x = 9,227.52

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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.