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Finding the Fourth Proportional to 27,331.78, 40,997.70 and 7,610.38

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Solution

The fourth proportional to 27,331.78, 40,997.70 and 7,610.38 is: 11,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,331.78 : 40,997.70 = 7,610.38 : x
  2. Step 2: Convert to fraction form
    27,331.78/40,997.70 = 7,610.38/x
  3. Step 3: Cross multiply
    27,331.78x = 40,997.70 × 7,610.38
  4. Step 4: Simplify right side
    27,331.78x = 312,008,076.13
  5. Step 5: Solve for x
    x = 312,008,076.13/27,331.78
  6. Step 6: Final answer
    x = 11,415.58

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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.