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Finding the Fourth Proportional to 8,201.64, 12,302.46 and 2,654.86

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Solution

The fourth proportional to 8,201.64, 12,302.46 and 2,654.86 is: 3,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.64 : 12,302.46 = 2,654.86 : x
  2. Step 2: Convert to fraction form
    8,201.64/12,302.46 = 2,654.86/x
  3. Step 3: Cross multiply
    8,201.64x = 12,302.46 × 2,654.86
  4. Step 4: Simplify right side
    8,201.64x = 32,661,308.96
  5. Step 5: Solve for x
    x = 32,661,308.96/8,201.64
  6. Step 6: Final answer
    x = 3,982.29

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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.