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Finding the Fourth Proportional to 8,147.79, 12,224.13 and 5,780.43

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Solution

The fourth proportional to 8,147.79, 12,224.13 and 5,780.43 is: 8,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.79 : 12,224.13 = 5,780.43 : x
  2. Step 2: Convert to fraction form
    8,147.79/12,224.13 = 5,780.43/x
  3. Step 3: Cross multiply
    8,147.79x = 12,224.13 × 5,780.43
  4. Step 4: Simplify right side
    8,147.79x = 70,660,727.78
  5. Step 5: Solve for x
    x = 70,660,727.78/8,147.79
  6. Step 6: Final answer
    x = 8,672.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.