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Finding the Fourth Proportional to 10,775.81, 16,163.72 and 3,380.85

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Solution

The fourth proportional to 10,775.81, 16,163.72 and 3,380.85 is: 5,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.81 : 16,163.72 = 3,380.85 : x
  2. Step 2: Convert to fraction form
    10,775.81/16,163.72 = 3,380.85/x
  3. Step 3: Cross multiply
    10,775.81x = 16,163.72 × 3,380.85
  4. Step 4: Simplify right side
    10,775.81x = 54,647,121.21
  5. Step 5: Solve for x
    x = 54,647,121.21/10,775.81
  6. Step 6: Final answer
    x = 5,071.28

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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.