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Finding the Fourth Proportional to 11,839.58, 16,329.38 and 7,591.04

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Solution

The fourth proportional to 11,839.58, 16,329.38 and 7,591.04 is: 10,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.58 : 16,329.38 = 7,591.04 : x
  2. Step 2: Convert to fraction form
    11,839.58/16,329.38 = 7,591.04/x
  3. Step 3: Cross multiply
    11,839.58x = 16,329.38 × 7,591.04
  4. Step 4: Simplify right side
    11,839.58x = 123,956,976.76
  5. Step 5: Solve for x
    x = 123,956,976.76/11,839.58
  6. Step 6: Final answer
    x = 10,469.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.