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Finding the Fourth Proportional to 8,139.62, 12,207.00 and 3,459.61

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Solution

The fourth proportional to 8,139.62, 12,207.00 and 3,459.61 is: 5,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.62 : 12,207.00 = 3,459.61 : x
  2. Step 2: Convert to fraction form
    8,139.62/12,207.00 = 3,459.61/x
  3. Step 3: Cross multiply
    8,139.62x = 12,207.00 × 3,459.61
  4. Step 4: Simplify right side
    8,139.62x = 42,231,487.50
  5. Step 5: Solve for x
    x = 42,231,487.50/8,139.62
  6. Step 6: Final answer
    x = 5,188.38

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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.