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Finding the Fourth Proportional to 8,270.97, 12,405.16 and 6,874.36

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Solution

The fourth proportional to 8,270.97, 12,405.16 and 6,874.36 is: 10,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.97 : 12,405.16 = 6,874.36 : x
  2. Step 2: Convert to fraction form
    8,270.97/12,405.16 = 6,874.36/x
  3. Step 3: Cross multiply
    8,270.97x = 12,405.16 × 6,874.36
  4. Step 4: Simplify right side
    8,270.97x = 85,277,474.61
  5. Step 5: Solve for x
    x = 85,277,474.61/8,270.97
  6. Step 6: Final answer
    x = 10,310.45

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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.