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Finding the Fourth Proportional to 8,115.30, 12,168.15 and 4,227.30

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Solution

The fourth proportional to 8,115.30, 12,168.15 and 4,227.30 is: 6,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.30 : 12,168.15 = 4,227.30 : x
  2. Step 2: Convert to fraction form
    8,115.30/12,168.15 = 4,227.30/x
  3. Step 3: Cross multiply
    8,115.30x = 12,168.15 × 4,227.30
  4. Step 4: Simplify right side
    8,115.30x = 51,438,420.50
  5. Step 5: Solve for x
    x = 51,438,420.50/8,115.30
  6. Step 6: Final answer
    x = 6,338.45

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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.