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Finding the Fourth Proportional to 6,791.09, 10,164.77 and 3,499.66

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Solution

The fourth proportional to 6,791.09, 10,164.77 and 3,499.66 is: 5,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.09 : 10,164.77 = 3,499.66 : x
  2. Step 2: Convert to fraction form
    6,791.09/10,164.77 = 3,499.66/x
  3. Step 3: Cross multiply
    6,791.09x = 10,164.77 × 3,499.66
  4. Step 4: Simplify right side
    6,791.09x = 35,573,180.29
  5. Step 5: Solve for x
    x = 35,573,180.29/6,791.09
  6. Step 6: Final answer
    x = 5,238.21

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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.