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Finding the Fourth Proportional to 11,839.38, 16,346.61 and 7,364.94

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Solution

The fourth proportional to 11,839.38, 16,346.61 and 7,364.94 is: 10,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.38 : 16,346.61 = 7,364.94 : x
  2. Step 2: Convert to fraction form
    11,839.38/16,346.61 = 7,364.94/x
  3. Step 3: Cross multiply
    11,839.38x = 16,346.61 × 7,364.94
  4. Step 4: Simplify right side
    11,839.38x = 120,391,801.85
  5. Step 5: Solve for x
    x = 120,391,801.85/11,839.38
  6. Step 6: Final answer
    x = 10,168.76

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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.