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Finding the Fourth Proportional to 8,116.40, 12,167.40 and 3,184.40

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Solution

The fourth proportional to 8,116.40, 12,167.40 and 3,184.40 is: 4,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.40 : 12,167.40 = 3,184.40 : x
  2. Step 2: Convert to fraction form
    8,116.40/12,167.40 = 3,184.40/x
  3. Step 3: Cross multiply
    8,116.40x = 12,167.40 × 3,184.40
  4. Step 4: Simplify right side
    8,116.40x = 38,745,868.56
  5. Step 5: Solve for x
    x = 38,745,868.56/8,116.40
  6. Step 6: Final answer
    x = 4,773.78

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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.