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Finding the Fourth Proportional to 6,791.29, 10,189.84 and 2,843.47

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Solution

The fourth proportional to 6,791.29, 10,189.84 and 2,843.47 is: 4,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.29 : 10,189.84 = 2,843.47 : x
  2. Step 2: Convert to fraction form
    6,791.29/10,189.84 = 2,843.47/x
  3. Step 3: Cross multiply
    6,791.29x = 10,189.84 × 2,843.47
  4. Step 4: Simplify right side
    6,791.29x = 28,974,504.34
  5. Step 5: Solve for x
    x = 28,974,504.34/6,791.29
  6. Step 6: Final answer
    x = 4,266.42

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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.