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Finding the Fourth Proportional to 8,336.62, 12,508.38 and 3,654.20

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Solution

The fourth proportional to 8,336.62, 12,508.38 and 3,654.20 is: 5,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.62 : 12,508.38 = 3,654.20 : x
  2. Step 2: Convert to fraction form
    8,336.62/12,508.38 = 3,654.20/x
  3. Step 3: Cross multiply
    8,336.62x = 12,508.38 × 3,654.20
  4. Step 4: Simplify right side
    8,336.62x = 45,708,122.20
  5. Step 5: Solve for x
    x = 45,708,122.20/8,336.62
  6. Step 6: Final answer
    x = 5,482.81

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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.