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Finding the Fourth Proportional to 8,001.27, 12,001.91 and 2,158.34

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Solution

The fourth proportional to 8,001.27, 12,001.91 and 2,158.34 is: 3,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.27 : 12,001.91 = 2,158.34 : x
  2. Step 2: Convert to fraction form
    8,001.27/12,001.91 = 2,158.34/x
  3. Step 3: Cross multiply
    8,001.27x = 12,001.91 × 2,158.34
  4. Step 4: Simplify right side
    8,001.27x = 25,904,131.63
  5. Step 5: Solve for x
    x = 25,904,131.63/8,001.27
  6. Step 6: Final answer
    x = 3,237.50

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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.