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Finding the Fourth Proportional to 6,763.68, 10,138.32 and 3,991.65

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Solution

The fourth proportional to 6,763.68, 10,138.32 and 3,991.65 is: 5,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.68 : 10,138.32 = 3,991.65 : x
  2. Step 2: Convert to fraction form
    6,763.68/10,138.32 = 3,991.65/x
  3. Step 3: Cross multiply
    6,763.68x = 10,138.32 × 3,991.65
  4. Step 4: Simplify right side
    6,763.68x = 40,468,625.03
  5. Step 5: Solve for x
    x = 40,468,625.03/6,763.68
  6. Step 6: Final answer
    x = 5,983.23

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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.