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Finding the Fourth Proportional to 6,982.40, 10,474.97 and 2,302.22

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Solution

The fourth proportional to 6,982.40, 10,474.97 and 2,302.22 is: 3,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.40 : 10,474.97 = 2,302.22 : x
  2. Step 2: Convert to fraction form
    6,982.40/10,474.97 = 2,302.22/x
  3. Step 3: Cross multiply
    6,982.40x = 10,474.97 × 2,302.22
  4. Step 4: Simplify right side
    6,982.40x = 24,115,673.92
  5. Step 5: Solve for x
    x = 24,115,673.92/6,982.40
  6. Step 6: Final answer
    x = 3,453.78

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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.