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Finding the Fourth Proportional to 11,882.79, 17,814.16 and 7,490.57

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Solution

The fourth proportional to 11,882.79, 17,814.16 and 7,490.57 is: 11,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.79 : 17,814.16 = 7,490.57 : x
  2. Step 2: Convert to fraction form
    11,882.79/17,814.16 = 7,490.57/x
  3. Step 3: Cross multiply
    11,882.79x = 17,814.16 × 7,490.57
  4. Step 4: Simplify right side
    11,882.79x = 133,438,123.40
  5. Step 5: Solve for x
    x = 133,438,123.40/11,882.79
  6. Step 6: Final answer
    x = 11,229.53

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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.