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Finding the Fourth Proportional to 11,882.62, 16,393.34 and 7,633.09

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Solution

The fourth proportional to 11,882.62, 16,393.34 and 7,633.09 is: 10,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.62 : 16,393.34 = 7,633.09 : x
  2. Step 2: Convert to fraction form
    11,882.62/16,393.34 = 7,633.09/x
  3. Step 3: Cross multiply
    11,882.62x = 16,393.34 × 7,633.09
  4. Step 4: Simplify right side
    11,882.62x = 125,131,744.05
  5. Step 5: Solve for x
    x = 125,131,744.05/11,882.62
  6. Step 6: Final answer
    x = 10,530.66

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