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Finding the Fourth Proportional to 11,772.03, 16,249.67 and 7,794.43

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Solution

The fourth proportional to 11,772.03, 16,249.67 and 7,794.43 is: 10,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.03 : 16,249.67 = 7,794.43 : x
  2. Step 2: Convert to fraction form
    11,772.03/16,249.67 = 7,794.43/x
  3. Step 3: Cross multiply
    11,772.03x = 16,249.67 × 7,794.43
  4. Step 4: Simplify right side
    11,772.03x = 126,656,819.89
  5. Step 5: Solve for x
    x = 126,656,819.89/11,772.03
  6. Step 6: Final answer
    x = 10,759.13

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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.