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Finding the Fourth Proportional to 6,791.82, 10,185.70 and 2,047.78

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Solution

The fourth proportional to 6,791.82, 10,185.70 and 2,047.78 is: 3,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.82 : 10,185.70 = 2,047.78 : x
  2. Step 2: Convert to fraction form
    6,791.82/10,185.70 = 2,047.78/x
  3. Step 3: Cross multiply
    6,791.82x = 10,185.70 × 2,047.78
  4. Step 4: Simplify right side
    6,791.82x = 20,858,072.75
  5. Step 5: Solve for x
    x = 20,858,072.75/6,791.82
  6. Step 6: Final answer
    x = 3,071.06

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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.