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Finding the Fourth Proportional to 8,134.29, 12,201.15 and 3,451.29

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Solution

The fourth proportional to 8,134.29, 12,201.15 and 3,451.29 is: 5,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.29 : 12,201.15 = 3,451.29 : x
  2. Step 2: Convert to fraction form
    8,134.29/12,201.15 = 3,451.29/x
  3. Step 3: Cross multiply
    8,134.29x = 12,201.15 × 3,451.29
  4. Step 4: Simplify right side
    8,134.29x = 42,109,706.98
  5. Step 5: Solve for x
    x = 42,109,706.98/8,134.29
  6. Step 6: Final answer
    x = 5,176.81

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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.