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Finding the Fourth Proportional to 12,793.68, 17,659.08 and 8,081.10

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Solution

The fourth proportional to 12,793.68, 17,659.08 and 8,081.10 is: 11,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.68 : 17,659.08 = 8,081.10 : x
  2. Step 2: Convert to fraction form
    12,793.68/17,659.08 = 8,081.10/x
  3. Step 3: Cross multiply
    12,793.68x = 17,659.08 × 8,081.10
  4. Step 4: Simplify right side
    12,793.68x = 142,704,791.39
  5. Step 5: Solve for x
    x = 142,704,791.39/12,793.68
  6. Step 6: Final answer
    x = 11,154.32

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Why These Related Problems?

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