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Finding the Fourth Proportional to 8,374.76, 12,562.24 and 2,531.42

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Solution

The fourth proportional to 8,374.76, 12,562.24 and 2,531.42 is: 3,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.76 : 12,562.24 = 2,531.42 : x
  2. Step 2: Convert to fraction form
    8,374.76/12,562.24 = 2,531.42/x
  3. Step 3: Cross multiply
    8,374.76x = 12,562.24 × 2,531.42
  4. Step 4: Simplify right side
    8,374.76x = 31,800,305.58
  5. Step 5: Solve for x
    x = 31,800,305.58/8,374.76
  6. Step 6: Final answer
    x = 3,797.16

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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.