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Finding the Fourth Proportional to 8,191.80, 12,288.96 and 3,261.96

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Solution

The fourth proportional to 8,191.80, 12,288.96 and 3,261.96 is: 4,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.80 : 12,288.96 = 3,261.96 : x
  2. Step 2: Convert to fraction form
    8,191.80/12,288.96 = 3,261.96/x
  3. Step 3: Cross multiply
    8,191.80x = 12,288.96 × 3,261.96
  4. Step 4: Simplify right side
    8,191.80x = 40,086,095.96
  5. Step 5: Solve for x
    x = 40,086,095.96/8,191.80
  6. Step 6: Final answer
    x = 4,893.44

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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.