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Finding the Fourth Proportional to 27,691.72, 41,537.67 and 6,915.22

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Solution

The fourth proportional to 27,691.72, 41,537.67 and 6,915.22 is: 10,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.72 : 41,537.67 = 6,915.22 : x
  2. Step 2: Convert to fraction form
    27,691.72/41,537.67 = 6,915.22/x
  3. Step 3: Cross multiply
    27,691.72x = 41,537.67 × 6,915.22
  4. Step 4: Simplify right side
    27,691.72x = 287,242,126.34
  5. Step 5: Solve for x
    x = 287,242,126.34/27,691.72
  6. Step 6: Final answer
    x = 10,372.85

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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.