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Finding the Fourth Proportional to 7,321.20, 10,982.40 and 3,161.40

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Solution

The fourth proportional to 7,321.20, 10,982.40 and 3,161.40 is: 4,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.20 : 10,982.40 = 3,161.40 : x
  2. Step 2: Convert to fraction form
    7,321.20/10,982.40 = 3,161.40/x
  3. Step 3: Cross multiply
    7,321.20x = 10,982.40 × 3,161.40
  4. Step 4: Simplify right side
    7,321.20x = 34,719,759.36
  5. Step 5: Solve for x
    x = 34,719,759.36/7,321.20
  6. Step 6: Final answer
    x = 4,742.36

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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.