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Finding the Fourth Proportional to 27,906.63, 41,862.10 and 7,915.78

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Solution

The fourth proportional to 27,906.63, 41,862.10 and 7,915.78 is: 11,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.63 : 41,862.10 = 7,915.78 : x
  2. Step 2: Convert to fraction form
    27,906.63/41,862.10 = 7,915.78/x
  3. Step 3: Cross multiply
    27,906.63x = 41,862.10 × 7,915.78
  4. Step 4: Simplify right side
    27,906.63x = 331,371,173.94
  5. Step 5: Solve for x
    x = 331,371,173.94/27,906.63
  6. Step 6: Final answer
    x = 11,874.28

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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.