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Finding the Fourth Proportional to 12,079.28, 18,118.68 and 6,874

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Solution

The fourth proportional to 12,079.28, 18,118.68 and 6,874 is: 10,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.28 : 18,118.68 = 6,874 : x
  2. Step 2: Convert to fraction form
    12,079.28/18,118.68 = 6,874/x
  3. Step 3: Cross multiply
    12,079.28x = 18,118.68 × 6,874
  4. Step 4: Simplify right side
    12,079.28x = 124,547,806.32
  5. Step 5: Solve for x
    x = 124,547,806.32/12,079.28
  6. Step 6: Final answer
    x = 10,310.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.