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Finding the Fourth Proportional to 11,723.68, 16,179.98 and 6,689.14

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Solution

The fourth proportional to 11,723.68, 16,179.98 and 6,689.14 is: 9,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.68 : 16,179.98 = 6,689.14 : x
  2. Step 2: Convert to fraction form
    11,723.68/16,179.98 = 6,689.14/x
  3. Step 3: Cross multiply
    11,723.68x = 16,179.98 × 6,689.14
  4. Step 4: Simplify right side
    11,723.68x = 108,230,138.20
  5. Step 5: Solve for x
    x = 108,230,138.20/11,723.68
  6. Step 6: Final answer
    x = 9,231.76

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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.