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Finding the Fourth Proportional to 8,357.41, 12,535.04 and 2,734.61

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Solution

The fourth proportional to 8,357.41, 12,535.04 and 2,734.61 is: 4,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.41 : 12,535.04 = 2,734.61 : x
  2. Step 2: Convert to fraction form
    8,357.41/12,535.04 = 2,734.61/x
  3. Step 3: Cross multiply
    8,357.41x = 12,535.04 × 2,734.61
  4. Step 4: Simplify right side
    8,357.41x = 34,278,432.06
  5. Step 5: Solve for x
    x = 34,278,432.06/8,357.41
  6. Step 6: Final answer
    x = 4,101.56

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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.