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Finding the Fourth Proportional to 8,001.84, 11,999.04 and 2,453.76

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Solution

The fourth proportional to 8,001.84, 11,999.04 and 2,453.76 is: 3,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.84 : 11,999.04 = 2,453.76 : x
  2. Step 2: Convert to fraction form
    8,001.84/11,999.04 = 2,453.76/x
  3. Step 3: Cross multiply
    8,001.84x = 11,999.04 × 2,453.76
  4. Step 4: Simplify right side
    8,001.84x = 29,442,764.39
  5. Step 5: Solve for x
    x = 29,442,764.39/8,001.84
  6. Step 6: Final answer
    x = 3,679.50

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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.