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Finding the Fourth Proportional to 11,715.68, 17,581.30 and 5,476.17

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Solution

The fourth proportional to 11,715.68, 17,581.30 and 5,476.17 is: 8,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.68 : 17,581.30 = 5,476.17 : x
  2. Step 2: Convert to fraction form
    11,715.68/17,581.30 = 5,476.17/x
  3. Step 3: Cross multiply
    11,715.68x = 17,581.30 × 5,476.17
  4. Step 4: Simplify right side
    11,715.68x = 96,278,187.62
  5. Step 5: Solve for x
    x = 96,278,187.62/11,715.68
  6. Step 6: Final answer
    x = 8,217.89

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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.