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Finding the Fourth Proportional to 10,908.06, 16,361.97 and 3,982.50

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Solution

The fourth proportional to 10,908.06, 16,361.97 and 3,982.50 is: 5,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.06 : 16,361.97 = 3,982.50 : x
  2. Step 2: Convert to fraction form
    10,908.06/16,361.97 = 3,982.50/x
  3. Step 3: Cross multiply
    10,908.06x = 16,361.97 × 3,982.50
  4. Step 4: Simplify right side
    10,908.06x = 65,161,545.53
  5. Step 5: Solve for x
    x = 65,161,545.53/10,908.06
  6. Step 6: Final answer
    x = 5,973.71

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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.