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Finding the Fourth Proportional to 6,763.49, 10,138.04 and 3,991.46

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Solution

The fourth proportional to 6,763.49, 10,138.04 and 3,991.46 is: 5,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.49 : 10,138.04 = 3,991.46 : x
  2. Step 2: Convert to fraction form
    6,763.49/10,138.04 = 3,991.46/x
  3. Step 3: Cross multiply
    6,763.49x = 10,138.04 × 3,991.46
  4. Step 4: Simplify right side
    6,763.49x = 40,465,510.49
  5. Step 5: Solve for x
    x = 40,465,510.49/6,763.49
  6. Step 6: Final answer
    x = 5,982.94

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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.