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Finding the Fourth Proportional to 7,462.38, 11,191.17 and 2,463.63

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Solution

The fourth proportional to 7,462.38, 11,191.17 and 2,463.63 is: 3,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.38 : 11,191.17 = 2,463.63 : x
  2. Step 2: Convert to fraction form
    7,462.38/11,191.17 = 2,463.63/x
  3. Step 3: Cross multiply
    7,462.38x = 11,191.17 × 2,463.63
  4. Step 4: Simplify right side
    7,462.38x = 27,570,902.15
  5. Step 5: Solve for x
    x = 27,570,902.15/7,462.38
  6. Step 6: Final answer
    x = 3,694.65

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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.