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Finding the Fourth Proportional to 6,311.71, 8,713.65 and 3,794.43

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Solution

The fourth proportional to 6,311.71, 8,713.65 and 3,794.43 is: 5,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.71 : 8,713.65 = 3,794.43 : x
  2. Step 2: Convert to fraction form
    6,311.71/8,713.65 = 3,794.43/x
  3. Step 3: Cross multiply
    6,311.71x = 8,713.65 × 3,794.43
  4. Step 4: Simplify right side
    6,311.71x = 33,063,334.97
  5. Step 5: Solve for x
    x = 33,063,334.97/6,311.71
  6. Step 6: Final answer
    x = 5,238.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.