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Finding the Fourth Proportional to 11,839.77, 17,759.66 and 7,446.33

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Solution

The fourth proportional to 11,839.77, 17,759.66 and 7,446.33 is: 11,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.77 : 17,759.66 = 7,446.33 : x
  2. Step 2: Convert to fraction form
    11,839.77/17,759.66 = 7,446.33/x
  3. Step 3: Cross multiply
    11,839.77x = 17,759.66 × 7,446.33
  4. Step 4: Simplify right side
    11,839.77x = 132,244,251.82
  5. Step 5: Solve for x
    x = 132,244,251.82/11,839.77
  6. Step 6: Final answer
    x = 11,169.50

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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.