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Finding the Fourth Proportional to 10,986.92, 16,480.24 and 2,667

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Solution

The fourth proportional to 10,986.92, 16,480.24 and 2,667 is: 4,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.92 : 16,480.24 = 2,667 : x
  2. Step 2: Convert to fraction form
    10,986.92/16,480.24 = 2,667/x
  3. Step 3: Cross multiply
    10,986.92x = 16,480.24 × 2,667
  4. Step 4: Simplify right side
    10,986.92x = 43,952,800.08
  5. Step 5: Solve for x
    x = 43,952,800.08/10,986.92
  6. Step 6: Final answer
    x = 4,000.47

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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.