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Finding the Fourth Proportional to 10,912.36, 16,363.68 and 3,982

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Solution

The fourth proportional to 10,912.36, 16,363.68 and 3,982 is: 5,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.36 : 16,363.68 = 3,982 : x
  2. Step 2: Convert to fraction form
    10,912.36/16,363.68 = 3,982/x
  3. Step 3: Cross multiply
    10,912.36x = 16,363.68 × 3,982
  4. Step 4: Simplify right side
    10,912.36x = 65,160,173.76
  5. Step 5: Solve for x
    x = 65,160,173.76/10,912.36
  6. Step 6: Final answer
    x = 5,971.23

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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.