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Finding the Fourth Proportional to 8,129.14, 12,198.39 and 3,448.78

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Solution

The fourth proportional to 8,129.14, 12,198.39 and 3,448.78 is: 5,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.14 : 12,198.39 = 3,448.78 : x
  2. Step 2: Convert to fraction form
    8,129.14/12,198.39 = 3,448.78/x
  3. Step 3: Cross multiply
    8,129.14x = 12,198.39 × 3,448.78
  4. Step 4: Simplify right side
    8,129.14x = 42,069,563.46
  5. Step 5: Solve for x
    x = 42,069,563.46/8,129.14
  6. Step 6: Final answer
    x = 5,175.16

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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.