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Finding the Fourth Proportional to 11,755.11, 16,223.07 and 6,450.96

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Solution

The fourth proportional to 11,755.11, 16,223.07 and 6,450.96 is: 8,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.11 : 16,223.07 = 6,450.96 : x
  2. Step 2: Convert to fraction form
    11,755.11/16,223.07 = 6,450.96/x
  3. Step 3: Cross multiply
    11,755.11x = 16,223.07 × 6,450.96
  4. Step 4: Simplify right side
    11,755.11x = 104,654,375.65
  5. Step 5: Solve for x
    x = 104,654,375.65/11,755.11
  6. Step 6: Final answer
    x = 8,902.88

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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.