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Finding the Fourth Proportional to 8,203.41, 12,306.92 and 2,657.31

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Solution

The fourth proportional to 8,203.41, 12,306.92 and 2,657.31 is: 3,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.41 : 12,306.92 = 2,657.31 : x
  2. Step 2: Convert to fraction form
    8,203.41/12,306.92 = 2,657.31/x
  3. Step 3: Cross multiply
    8,203.41x = 12,306.92 × 2,657.31
  4. Step 4: Simplify right side
    8,203.41x = 32,703,288.30
  5. Step 5: Solve for x
    x = 32,703,288.30/8,203.41
  6. Step 6: Final answer
    x = 3,986.55

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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.