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Finding the Fourth Proportional to 8,115.44, 12,168.50 and 3,179.30

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Solution

The fourth proportional to 8,115.44, 12,168.50 and 3,179.30 is: 4,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.44 : 12,168.50 = 3,179.30 : x
  2. Step 2: Convert to fraction form
    8,115.44/12,168.50 = 3,179.30/x
  3. Step 3: Cross multiply
    8,115.44x = 12,168.50 × 3,179.30
  4. Step 4: Simplify right side
    8,115.44x = 38,687,312.05
  5. Step 5: Solve for x
    x = 38,687,312.05/8,115.44
  6. Step 6: Final answer
    x = 4,767.12

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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.