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Finding the Fourth Proportional to 8,512.54, 12,769.44 and 2,272.36

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Solution

The fourth proportional to 8,512.54, 12,769.44 and 2,272.36 is: 3,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.54 : 12,769.44 = 2,272.36 : x
  2. Step 2: Convert to fraction form
    8,512.54/12,769.44 = 2,272.36/x
  3. Step 3: Cross multiply
    8,512.54x = 12,769.44 × 2,272.36
  4. Step 4: Simplify right side
    8,512.54x = 29,016,764.68
  5. Step 5: Solve for x
    x = 29,016,764.68/8,512.54
  6. Step 6: Final answer
    x = 3,408.71

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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.