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Finding the Fourth Proportional to 7,791.23, 11,684.13 and 2,243.09

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Solution

The fourth proportional to 7,791.23, 11,684.13 and 2,243.09 is: 3,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.23 : 11,684.13 = 2,243.09 : x
  2. Step 2: Convert to fraction form
    7,791.23/11,684.13 = 2,243.09/x
  3. Step 3: Cross multiply
    7,791.23x = 11,684.13 × 2,243.09
  4. Step 4: Simplify right side
    7,791.23x = 26,208,575.96
  5. Step 5: Solve for x
    x = 26,208,575.96/7,791.23
  6. Step 6: Final answer
    x = 3,363.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.