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Finding the Fourth Proportional to 8,130.25, 12,195.94 and 3,449.73

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Solution

The fourth proportional to 8,130.25, 12,195.94 and 3,449.73 is: 5,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.25 : 12,195.94 = 3,449.73 : x
  2. Step 2: Convert to fraction form
    8,130.25/12,195.94 = 3,449.73/x
  3. Step 3: Cross multiply
    8,130.25x = 12,195.94 × 3,449.73
  4. Step 4: Simplify right side
    8,130.25x = 42,072,667.62
  5. Step 5: Solve for x
    x = 42,072,667.62/8,130.25
  6. Step 6: Final answer
    x = 5,174.83

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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.