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Finding the Fourth Proportional to 8,362.26, 12,540.22 and 2,738.61

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Solution

The fourth proportional to 8,362.26, 12,540.22 and 2,738.61 is: 4,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.26 : 12,540.22 = 2,738.61 : x
  2. Step 2: Convert to fraction form
    8,362.26/12,540.22 = 2,738.61/x
  3. Step 3: Cross multiply
    8,362.26x = 12,540.22 × 2,738.61
  4. Step 4: Simplify right side
    8,362.26x = 34,342,765.05
  5. Step 5: Solve for x
    x = 34,342,765.05/8,362.26
  6. Step 6: Final answer
    x = 4,106.88

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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.