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Finding the Fourth Proportional to 10,760.12, 16,138.24 and 2,967

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Solution

The fourth proportional to 10,760.12, 16,138.24 and 2,967 is: 4,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.12 : 16,138.24 = 2,967 : x
  2. Step 2: Convert to fraction form
    10,760.12/16,138.24 = 2,967/x
  3. Step 3: Cross multiply
    10,760.12x = 16,138.24 × 2,967
  4. Step 4: Simplify right side
    10,760.12x = 47,882,158.08
  5. Step 5: Solve for x
    x = 47,882,158.08/10,760.12
  6. Step 6: Final answer
    x = 4,449.97

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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.