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Finding the Fourth Proportional to 12,170.52, 16,793.64 and 6,864.30

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Solution

The fourth proportional to 12,170.52, 16,793.64 and 6,864.30 is: 9,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.52 : 16,793.64 = 6,864.30 : x
  2. Step 2: Convert to fraction form
    12,170.52/16,793.64 = 6,864.30/x
  3. Step 3: Cross multiply
    12,170.52x = 16,793.64 × 6,864.30
  4. Step 4: Simplify right side
    12,170.52x = 115,276,583.05
  5. Step 5: Solve for x
    x = 115,276,583.05/12,170.52
  6. Step 6: Final answer
    x = 9,471.79

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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.