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Finding the Fourth Proportional to 8,546.19, 12,814.84 and 3,863.96

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Solution

The fourth proportional to 8,546.19, 12,814.84 and 3,863.96 is: 5,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.19 : 12,814.84 = 3,863.96 : x
  2. Step 2: Convert to fraction form
    8,546.19/12,814.84 = 3,863.96/x
  3. Step 3: Cross multiply
    8,546.19x = 12,814.84 × 3,863.96
  4. Step 4: Simplify right side
    8,546.19x = 49,515,945.77
  5. Step 5: Solve for x
    x = 49,515,945.77/8,546.19
  6. Step 6: Final answer
    x = 5,793.92

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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.