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Finding the Fourth Proportional to 8,387.94, 12,581.76 and 2,147.88

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Solution

The fourth proportional to 8,387.94, 12,581.76 and 2,147.88 is: 3,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.94 : 12,581.76 = 2,147.88 : x
  2. Step 2: Convert to fraction form
    8,387.94/12,581.76 = 2,147.88/x
  3. Step 3: Cross multiply
    8,387.94x = 12,581.76 × 2,147.88
  4. Step 4: Simplify right side
    8,387.94x = 27,024,110.67
  5. Step 5: Solve for x
    x = 27,024,110.67/8,387.94
  6. Step 6: Final answer
    x = 3,221.78

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Why These Related Problems?

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