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Finding the Fourth Proportional to 7,791.82, 11,685.29 and 2,243.66

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Solution

The fourth proportional to 7,791.82, 11,685.29 and 2,243.66 is: 3,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.82 : 11,685.29 = 2,243.66 : x
  2. Step 2: Convert to fraction form
    7,791.82/11,685.29 = 2,243.66/x
  3. Step 3: Cross multiply
    7,791.82x = 11,685.29 × 2,243.66
  4. Step 4: Simplify right side
    7,791.82x = 26,217,748.12
  5. Step 5: Solve for x
    x = 26,217,748.12/7,791.82
  6. Step 6: Final answer
    x = 3,364.78

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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.