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Finding the Fourth Proportional to 7,105.52, 10,652.18 and 3,982.97

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Solution

The fourth proportional to 7,105.52, 10,652.18 and 3,982.97 is: 5,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.52 : 10,652.18 = 3,982.97 : x
  2. Step 2: Convert to fraction form
    7,105.52/10,652.18 = 3,982.97/x
  3. Step 3: Cross multiply
    7,105.52x = 10,652.18 × 3,982.97
  4. Step 4: Simplify right side
    7,105.52x = 42,427,320.09
  5. Step 5: Solve for x
    x = 42,427,320.09/7,105.52
  6. Step 6: Final answer
    x = 5,971.03

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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.