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Finding the Fourth Proportional to 8,231.97, 12,348.35 and 2,685.30

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Solution

The fourth proportional to 8,231.97, 12,348.35 and 2,685.30 is: 4,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.97 : 12,348.35 = 2,685.30 : x
  2. Step 2: Convert to fraction form
    8,231.97/12,348.35 = 2,685.30/x
  3. Step 3: Cross multiply
    8,231.97x = 12,348.35 × 2,685.30
  4. Step 4: Simplify right side
    8,231.97x = 33,159,024.26
  5. Step 5: Solve for x
    x = 33,159,024.26/8,231.97
  6. Step 6: Final answer
    x = 4,028.08

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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.