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Finding the Fourth Proportional to 27,560.11, 41,343.56 and 7,840.20

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Solution

The fourth proportional to 27,560.11, 41,343.56 and 7,840.20 is: 11,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,560.11 : 41,343.56 = 7,840.20 : x
  2. Step 2: Convert to fraction form
    27,560.11/41,343.56 = 7,840.20/x
  3. Step 3: Cross multiply
    27,560.11x = 41,343.56 × 7,840.20
  4. Step 4: Simplify right side
    27,560.11x = 324,141,739.91
  5. Step 5: Solve for x
    x = 324,141,739.91/27,560.11
  6. Step 6: Final answer
    x = 11,761.27

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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.