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Finding the Fourth Proportional to 8,231.95, 12,348.74 and 2,685.07

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Solution

The fourth proportional to 8,231.95, 12,348.74 and 2,685.07 is: 4,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.95 : 12,348.74 = 2,685.07 : x
  2. Step 2: Convert to fraction form
    8,231.95/12,348.74 = 2,685.07/x
  3. Step 3: Cross multiply
    8,231.95x = 12,348.74 × 2,685.07
  4. Step 4: Simplify right side
    8,231.95x = 33,157,231.31
  5. Step 5: Solve for x
    x = 33,157,231.31/8,231.95
  6. Step 6: Final answer
    x = 4,027.87

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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.