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Finding the Fourth Proportional to 27,408.90, 41,120.10 and 7,687.20

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Solution

The fourth proportional to 27,408.90, 41,120.10 and 7,687.20 is: 11,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.90 : 41,120.10 = 7,687.20 : x
  2. Step 2: Convert to fraction form
    27,408.90/41,120.10 = 7,687.20/x
  3. Step 3: Cross multiply
    27,408.90x = 41,120.10 × 7,687.20
  4. Step 4: Simplify right side
    27,408.90x = 316,098,432.72
  5. Step 5: Solve for x
    x = 316,098,432.72/27,408.90
  6. Step 6: Final answer
    x = 11,532.69

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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.