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Finding the Fourth Proportional to 11,586.39, 17,402.85 and 6,915.52

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Solution

The fourth proportional to 11,586.39, 17,402.85 and 6,915.52 is: 10,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.39 : 17,402.85 = 6,915.52 : x
  2. Step 2: Convert to fraction form
    11,586.39/17,402.85 = 6,915.52/x
  3. Step 3: Cross multiply
    11,586.39x = 17,402.85 × 6,915.52
  4. Step 4: Simplify right side
    11,586.39x = 120,349,757.23
  5. Step 5: Solve for x
    x = 120,349,757.23/11,586.39
  6. Step 6: Final answer
    x = 10,387.17

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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.