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Finding the Fourth Proportional to 6,665.46, 10,002.96 and 3,892.97

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Solution

The fourth proportional to 6,665.46, 10,002.96 and 3,892.97 is: 5,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.46 : 10,002.96 = 3,892.97 : x
  2. Step 2: Convert to fraction form
    6,665.46/10,002.96 = 3,892.97/x
  3. Step 3: Cross multiply
    6,665.46x = 10,002.96 × 3,892.97
  4. Step 4: Simplify right side
    6,665.46x = 38,941,248.20
  5. Step 5: Solve for x
    x = 38,941,248.20/6,665.46
  6. Step 6: Final answer
    x = 5,842.25

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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.