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Finding the Fourth Proportional to 11,262.77, 15,542.94 and 6,227.31

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Solution

The fourth proportional to 11,262.77, 15,542.94 and 6,227.31 is: 8,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.77 : 15,542.94 = 6,227.31 : x
  2. Step 2: Convert to fraction form
    11,262.77/15,542.94 = 6,227.31/x
  3. Step 3: Cross multiply
    11,262.77x = 15,542.94 × 6,227.31
  4. Step 4: Simplify right side
    11,262.77x = 96,790,705.69
  5. Step 5: Solve for x
    x = 96,790,705.69/11,262.77
  6. Step 6: Final answer
    x = 8,593.87

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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.