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Finding the Fourth Proportional to 11,896.97, 17,839.31 and 5,230.80

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Solution

The fourth proportional to 11,896.97, 17,839.31 and 5,230.80 is: 7,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.97 : 17,839.31 = 5,230.80 : x
  2. Step 2: Convert to fraction form
    11,896.97/17,839.31 = 5,230.80/x
  3. Step 3: Cross multiply
    11,896.97x = 17,839.31 × 5,230.80
  4. Step 4: Simplify right side
    11,896.97x = 93,313,836.59
  5. Step 5: Solve for x
    x = 93,313,836.59/11,896.97
  6. Step 6: Final answer
    x = 7,843.50

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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.