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Finding the Fourth Proportional to 27,562.56, 41,343.36 and 7,841.28

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Solution

The fourth proportional to 27,562.56, 41,343.36 and 7,841.28 is: 11,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.56 : 41,343.36 = 7,841.28 : x
  2. Step 2: Convert to fraction form
    27,562.56/41,343.36 = 7,841.28/x
  3. Step 3: Cross multiply
    27,562.56x = 41,343.36 × 7,841.28
  4. Step 4: Simplify right side
    27,562.56x = 324,184,861.90
  5. Step 5: Solve for x
    x = 324,184,861.90/27,562.56
  6. Step 6: Final answer
    x = 11,761.78

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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.