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Finding the Fourth Proportional to 11,781.25, 16,246.07 and 7,800.91

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Solution

The fourth proportional to 11,781.25, 16,246.07 and 7,800.91 is: 10,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.25 : 16,246.07 = 7,800.91 : x
  2. Step 2: Convert to fraction form
    11,781.25/16,246.07 = 7,800.91/x
  3. Step 3: Cross multiply
    11,781.25x = 16,246.07 × 7,800.91
  4. Step 4: Simplify right side
    11,781.25x = 126,734,079.56
  5. Step 5: Solve for x
    x = 126,734,079.56/11,781.25
  6. Step 6: Final answer
    x = 10,757.27

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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.