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Finding the Fourth Proportional to 10,806.75, 16,180.97 and 6,119.82

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Solution

The fourth proportional to 10,806.75, 16,180.97 and 6,119.82 is: 9,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.75 : 16,180.97 = 6,119.82 : x
  2. Step 2: Convert to fraction form
    10,806.75/16,180.97 = 6,119.82/x
  3. Step 3: Cross multiply
    10,806.75x = 16,180.97 × 6,119.82
  4. Step 4: Simplify right side
    10,806.75x = 99,024,593.23
  5. Step 5: Solve for x
    x = 99,024,593.23/10,806.75
  6. Step 6: Final answer
    x = 9,163.22

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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.