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Finding the Fourth Proportional to 8,097.13, 12,142.97 and 3,098.33

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Solution

The fourth proportional to 8,097.13, 12,142.97 and 3,098.33 is: 4,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.13 : 12,142.97 = 3,098.33 : x
  2. Step 2: Convert to fraction form
    8,097.13/12,142.97 = 3,098.33/x
  3. Step 3: Cross multiply
    8,097.13x = 12,142.97 × 3,098.33
  4. Step 4: Simplify right side
    8,097.13x = 37,622,960.53
  5. Step 5: Solve for x
    x = 37,622,960.53/8,097.13
  6. Step 6: Final answer
    x = 4,646.46

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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.