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Finding the Fourth Proportional to 10,876.24, 16,311.12 and 3,949.12

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Solution

The fourth proportional to 10,876.24, 16,311.12 and 3,949.12 is: 5,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.24 : 16,311.12 = 3,949.12 : x
  2. Step 2: Convert to fraction form
    10,876.24/16,311.12 = 3,949.12/x
  3. Step 3: Cross multiply
    10,876.24x = 16,311.12 × 3,949.12
  4. Step 4: Simplify right side
    10,876.24x = 64,414,570.21
  5. Step 5: Solve for x
    x = 64,414,570.21/10,876.24
  6. Step 6: Final answer
    x = 5,922.50

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Why These Related Problems?

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