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Finding the Fourth Proportional to 8,146.05, 12,213.60 and 3,213.15

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Solution

The fourth proportional to 8,146.05, 12,213.60 and 3,213.15 is: 4,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.05 : 12,213.60 = 3,213.15 : x
  2. Step 2: Convert to fraction form
    8,146.05/12,213.60 = 3,213.15/x
  3. Step 3: Cross multiply
    8,146.05x = 12,213.60 × 3,213.15
  4. Step 4: Simplify right side
    8,146.05x = 39,244,128.84
  5. Step 5: Solve for x
    x = 39,244,128.84/8,146.05
  6. Step 6: Final answer
    x = 4,817.57

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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.