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Finding the Fourth Proportional to 8,398.20, 12,591.30 and 4,235.24

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Solution

The fourth proportional to 8,398.20, 12,591.30 and 4,235.24 is: 6,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.20 : 12,591.30 = 4,235.24 : x
  2. Step 2: Convert to fraction form
    8,398.20/12,591.30 = 4,235.24/x
  3. Step 3: Cross multiply
    8,398.20x = 12,591.30 × 4,235.24
  4. Step 4: Simplify right side
    8,398.20x = 53,327,177.41
  5. Step 5: Solve for x
    x = 53,327,177.41/8,398.20
  6. Step 6: Final answer
    x = 6,349.83

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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.