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Finding the Fourth Proportional to 12,107.72, 16,714.34 and 8,081.28

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Solution

The fourth proportional to 12,107.72, 16,714.34 and 8,081.28 is: 11,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.72 : 16,714.34 = 8,081.28 : x
  2. Step 2: Convert to fraction form
    12,107.72/16,714.34 = 8,081.28/x
  3. Step 3: Cross multiply
    12,107.72x = 16,714.34 × 8,081.28
  4. Step 4: Simplify right side
    12,107.72x = 135,073,261.56
  5. Step 5: Solve for x
    x = 135,073,261.56/12,107.72
  6. Step 6: Final answer
    x = 11,155.96

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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.