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Finding the Fourth Proportional to 8,141.31, 11,240.05 and 6,249.27

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Solution

The fourth proportional to 8,141.31, 11,240.05 and 6,249.27 is: 8,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.31 : 11,240.05 = 6,249.27 : x
  2. Step 2: Convert to fraction form
    8,141.31/11,240.05 = 6,249.27/x
  3. Step 3: Cross multiply
    8,141.31x = 11,240.05 × 6,249.27
  4. Step 4: Simplify right side
    8,141.31x = 70,242,091.64
  5. Step 5: Solve for x
    x = 70,242,091.64/8,141.31
  6. Step 6: Final answer
    x = 8,627.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.