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Finding the Fourth Proportional to 8,001, 11,999.88 and 4,103.28

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Solution

The fourth proportional to 8,001, 11,999.88 and 4,103.28 is: 6,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 11,999.88 = 4,103.28 : x
  2. Step 2: Convert to fraction form
    8,001/11,999.88 = 4,103.28/x
  3. Step 3: Cross multiply
    8,001x = 11,999.88 × 4,103.28
  4. Step 4: Simplify right side
    8,001x = 49,238,867.61
  5. Step 5: Solve for x
    x = 49,238,867.61/8,001
  6. Step 6: Final answer
    x = 6,154.09

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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.