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Finding the Fourth Proportional to 8,387.81, 12,581.82 and 3,642.87

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Solution

The fourth proportional to 8,387.81, 12,581.82 and 3,642.87 is: 5,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.81 : 12,581.82 = 3,642.87 : x
  2. Step 2: Convert to fraction form
    8,387.81/12,581.82 = 3,642.87/x
  3. Step 3: Cross multiply
    8,387.81x = 12,581.82 × 3,642.87
  4. Step 4: Simplify right side
    8,387.81x = 45,833,934.62
  5. Step 5: Solve for x
    x = 45,833,934.62/8,387.81
  6. Step 6: Final answer
    x = 5,464.35

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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.