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Finding the Fourth Proportional to 10,493.42, 15,740.17 and 4,253.55

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Solution

The fourth proportional to 10,493.42, 15,740.17 and 4,253.55 is: 6,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.42 : 15,740.17 = 4,253.55 : x
  2. Step 2: Convert to fraction form
    10,493.42/15,740.17 = 4,253.55/x
  3. Step 3: Cross multiply
    10,493.42x = 15,740.17 × 4,253.55
  4. Step 4: Simplify right side
    10,493.42x = 66,951,500.13
  5. Step 5: Solve for x
    x = 66,951,500.13/10,493.42
  6. Step 6: Final answer
    x = 6,380.33

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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.