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Finding the Fourth Proportional to 6,791.90, 10,194.83 and 4,161.22

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Solution

The fourth proportional to 6,791.90, 10,194.83 and 4,161.22 is: 6,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.90 : 10,194.83 = 4,161.22 : x
  2. Step 2: Convert to fraction form
    6,791.90/10,194.83 = 4,161.22/x
  3. Step 3: Cross multiply
    6,791.90x = 10,194.83 × 4,161.22
  4. Step 4: Simplify right side
    6,791.90x = 42,422,940.90
  5. Step 5: Solve for x
    x = 42,422,940.90/6,791.90
  6. Step 6: Final answer
    x = 6,246.11

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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.