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Finding the Fourth Proportional to 8,217.32, 12,327.80 and 2,373.50

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Solution

The fourth proportional to 8,217.32, 12,327.80 and 2,373.50 is: 3,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.32 : 12,327.80 = 2,373.50 : x
  2. Step 2: Convert to fraction form
    8,217.32/12,327.80 = 2,373.50/x
  3. Step 3: Cross multiply
    8,217.32x = 12,327.80 × 2,373.50
  4. Step 4: Simplify right side
    8,217.32x = 29,260,052.25
  5. Step 5: Solve for x
    x = 29,260,052.25/8,217.32
  6. Step 6: Final answer
    x = 3,560.78

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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.