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Finding the Fourth Proportional to 12,793.68, 17,654.10 and 7,127.88

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Solution

The fourth proportional to 12,793.68, 17,654.10 and 7,127.88 is: 9,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.68 : 17,654.10 = 7,127.88 : x
  2. Step 2: Convert to fraction form
    12,793.68/17,654.10 = 7,127.88/x
  3. Step 3: Cross multiply
    12,793.68x = 17,654.10 × 7,127.88
  4. Step 4: Simplify right side
    12,793.68x = 125,836,306.31
  5. Step 5: Solve for x
    x = 125,836,306.31/12,793.68
  6. Step 6: Final answer
    x = 9,835.82

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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.