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Finding the Fourth Proportional to 11,489.82, 17,231.13 and 7,614.78

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Solution

The fourth proportional to 11,489.82, 17,231.13 and 7,614.78 is: 11,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.82 : 17,231.13 = 7,614.78 : x
  2. Step 2: Convert to fraction form
    11,489.82/17,231.13 = 7,614.78/x
  3. Step 3: Cross multiply
    11,489.82x = 17,231.13 × 7,614.78
  4. Step 4: Simplify right side
    11,489.82x = 131,211,264.10
  5. Step 5: Solve for x
    x = 131,211,264.10/11,489.82
  6. Step 6: Final answer
    x = 11,419.78

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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.