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Finding the Fourth Proportional to 6,791.64, 10,179.09 and 3,861.06

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Solution

The fourth proportional to 6,791.64, 10,179.09 and 3,861.06 is: 5,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.64 : 10,179.09 = 3,861.06 : x
  2. Step 2: Convert to fraction form
    6,791.64/10,179.09 = 3,861.06/x
  3. Step 3: Cross multiply
    6,791.64x = 10,179.09 × 3,861.06
  4. Step 4: Simplify right side
    6,791.64x = 39,302,077.24
  5. Step 5: Solve for x
    x = 39,302,077.24/6,791.64
  6. Step 6: Final answer
    x = 5,786.83

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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.