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Finding the Fourth Proportional to 10,775.76, 16,163.85 and 3,380.46

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Solution

The fourth proportional to 10,775.76, 16,163.85 and 3,380.46 is: 5,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.76 : 16,163.85 = 3,380.46 : x
  2. Step 2: Convert to fraction form
    10,775.76/16,163.85 = 3,380.46/x
  3. Step 3: Cross multiply
    10,775.76x = 16,163.85 × 3,380.46
  4. Step 4: Simplify right side
    10,775.76x = 54,641,248.37
  5. Step 5: Solve for x
    x = 54,641,248.37/10,775.76
  6. Step 6: Final answer
    x = 5,070.76

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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.