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Finding the Fourth Proportional to 11,296.92, 16,951.16 and 5,380.50

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Solution

The fourth proportional to 11,296.92, 16,951.16 and 5,380.50 is: 8,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.92 : 16,951.16 = 5,380.50 : x
  2. Step 2: Convert to fraction form
    11,296.92/16,951.16 = 5,380.50/x
  3. Step 3: Cross multiply
    11,296.92x = 16,951.16 × 5,380.50
  4. Step 4: Simplify right side
    11,296.92x = 91,205,716.38
  5. Step 5: Solve for x
    x = 91,205,716.38/11,296.92
  6. Step 6: Final answer
    x = 8,073.50

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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.