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Finding the Fourth Proportional to 11,714.44, 16,149.11 and 8,351.42

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Solution

The fourth proportional to 11,714.44, 16,149.11 and 8,351.42 is: 11,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.44 : 16,149.11 = 8,351.42 : x
  2. Step 2: Convert to fraction form
    11,714.44/16,149.11 = 8,351.42/x
  3. Step 3: Cross multiply
    11,714.44x = 16,149.11 × 8,351.42
  4. Step 4: Simplify right side
    11,714.44x = 134,867,949.54
  5. Step 5: Solve for x
    x = 134,867,949.54/11,714.44
  6. Step 6: Final answer
    x = 11,512.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.