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Finding the Fourth Proportional to 10,775.49, 16,163.25 and 3,380.55

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Solution

The fourth proportional to 10,775.49, 16,163.25 and 3,380.55 is: 5,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.49 : 16,163.25 = 3,380.55 : x
  2. Step 2: Convert to fraction form
    10,775.49/16,163.25 = 3,380.55/x
  3. Step 3: Cross multiply
    10,775.49x = 16,163.25 × 3,380.55
  4. Step 4: Simplify right side
    10,775.49x = 54,640,674.79
  5. Step 5: Solve for x
    x = 54,640,674.79/10,775.49
  6. Step 6: Final answer
    x = 5,070.83

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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.