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Finding the Fourth Proportional to 11,896.75, 17,833.24 and 7,951.33

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Solution

The fourth proportional to 11,896.75, 17,833.24 and 7,951.33 is: 11,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.75 : 17,833.24 = 7,951.33 : x
  2. Step 2: Convert to fraction form
    11,896.75/17,833.24 = 7,951.33/x
  3. Step 3: Cross multiply
    11,896.75x = 17,833.24 × 7,951.33
  4. Step 4: Simplify right side
    11,896.75x = 141,797,847.29
  5. Step 5: Solve for x
    x = 141,797,847.29/11,896.75
  6. Step 6: Final answer
    x = 11,919.05

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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.