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Finding the Fourth Proportional to 12,115.68, 16,725.96 and 8,157.66

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Solution

The fourth proportional to 12,115.68, 16,725.96 and 8,157.66 is: 11,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.68 : 16,725.96 = 8,157.66 : x
  2. Step 2: Convert to fraction form
    12,115.68/16,725.96 = 8,157.66/x
  3. Step 3: Cross multiply
    12,115.68x = 16,725.96 × 8,157.66
  4. Step 4: Simplify right side
    12,115.68x = 136,444,694.85
  5. Step 5: Solve for x
    x = 136,444,694.85/12,115.68
  6. Step 6: Final answer
    x = 11,261.83

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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.