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Finding the Fourth Proportional to 8,374.68, 12,561.68 and 2,531.14

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Solution

The fourth proportional to 8,374.68, 12,561.68 and 2,531.14 is: 3,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.68 : 12,561.68 = 2,531.14 : x
  2. Step 2: Convert to fraction form
    8,374.68/12,561.68 = 2,531.14/x
  3. Step 3: Cross multiply
    8,374.68x = 12,561.68 × 2,531.14
  4. Step 4: Simplify right side
    8,374.68x = 31,795,370.72
  5. Step 5: Solve for x
    x = 31,795,370.72/8,374.68
  6. Step 6: Final answer
    x = 3,796.61

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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.