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Finding the Fourth Proportional to 8,001.50, 12,001.44 and 2,158.70

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Solution

The fourth proportional to 8,001.50, 12,001.44 and 2,158.70 is: 3,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.50 : 12,001.44 = 2,158.70 : x
  2. Step 2: Convert to fraction form
    8,001.50/12,001.44 = 2,158.70/x
  3. Step 3: Cross multiply
    8,001.50x = 12,001.44 × 2,158.70
  4. Step 4: Simplify right side
    8,001.50x = 25,907,508.53
  5. Step 5: Solve for x
    x = 25,907,508.53/8,001.50
  6. Step 6: Final answer
    x = 3,237.83

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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.