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Finding the Fourth Proportional to 8,186.85, 12,282.30 and 2,640.78

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Solution

The fourth proportional to 8,186.85, 12,282.30 and 2,640.78 is: 3,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.85 : 12,282.30 = 2,640.78 : x
  2. Step 2: Convert to fraction form
    8,186.85/12,282.30 = 2,640.78/x
  3. Step 3: Cross multiply
    8,186.85x = 12,282.30 × 2,640.78
  4. Step 4: Simplify right side
    8,186.85x = 32,434,852.19
  5. Step 5: Solve for x
    x = 32,434,852.19/8,186.85
  6. Step 6: Final answer
    x = 3,961.82

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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.