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Finding the Fourth Proportional to 8,542.40, 11,786.92 and 5,005.68

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Solution

The fourth proportional to 8,542.40, 11,786.92 and 5,005.68 is: 6,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.40 : 11,786.92 = 5,005.68 : x
  2. Step 2: Convert to fraction form
    8,542.40/11,786.92 = 5,005.68/x
  3. Step 3: Cross multiply
    8,542.40x = 11,786.92 × 5,005.68
  4. Step 4: Simplify right side
    8,542.40x = 59,001,549.71
  5. Step 5: Solve for x
    x = 59,001,549.71/8,542.40
  6. Step 6: Final answer
    x = 6,906.91

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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.