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Finding the Fourth Proportional to 8,028.14, 12,034.10 and 3,350.75

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Solution

The fourth proportional to 8,028.14, 12,034.10 and 3,350.75 is: 5,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.14 : 12,034.10 = 3,350.75 : x
  2. Step 2: Convert to fraction form
    8,028.14/12,034.10 = 3,350.75/x
  3. Step 3: Cross multiply
    8,028.14x = 12,034.10 × 3,350.75
  4. Step 4: Simplify right side
    8,028.14x = 40,323,200.40
  5. Step 5: Solve for x
    x = 40,323,200.40/8,028.14
  6. Step 6: Final answer
    x = 5,022.73

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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.