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Finding the Fourth Proportional to 10,765.92, 16,139.15 and 3,838.80

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Solution

The fourth proportional to 10,765.92, 16,139.15 and 3,838.80 is: 5,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.92 : 16,139.15 = 3,838.80 : x
  2. Step 2: Convert to fraction form
    10,765.92/16,139.15 = 3,838.80/x
  3. Step 3: Cross multiply
    10,765.92x = 16,139.15 × 3,838.80
  4. Step 4: Simplify right side
    10,765.92x = 61,954,969.02
  5. Step 5: Solve for x
    x = 61,954,969.02/10,765.92
  6. Step 6: Final answer
    x = 5,754.73

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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.