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Finding the Fourth Proportional to 8,195.49, 12,293.25 and 3,512.47

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Solution

The fourth proportional to 8,195.49, 12,293.25 and 3,512.47 is: 5,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.49 : 12,293.25 = 3,512.47 : x
  2. Step 2: Convert to fraction form
    8,195.49/12,293.25 = 3,512.47/x
  3. Step 3: Cross multiply
    8,195.49x = 12,293.25 × 3,512.47
  4. Step 4: Simplify right side
    8,195.49x = 43,179,671.83
  5. Step 5: Solve for x
    x = 43,179,671.83/8,195.49
  6. Step 6: Final answer
    x = 5,268.71

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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.