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Finding the Fourth Proportional to 8,000.67, 12,001.28 and 2,157.42

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Solution

The fourth proportional to 8,000.67, 12,001.28 and 2,157.42 is: 3,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.67 : 12,001.28 = 2,157.42 : x
  2. Step 2: Convert to fraction form
    8,000.67/12,001.28 = 2,157.42/x
  3. Step 3: Cross multiply
    8,000.67x = 12,001.28 × 2,157.42
  4. Step 4: Simplify right side
    8,000.67x = 25,891,801.50
  5. Step 5: Solve for x
    x = 25,891,801.50/8,000.67
  6. Step 6: Final answer
    x = 3,236.20

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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.