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Finding the Fourth Proportional to 8,213.41, 12,314.04 and 3,279.30

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Solution

The fourth proportional to 8,213.41, 12,314.04 and 3,279.30 is: 4,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.41 : 12,314.04 = 3,279.30 : x
  2. Step 2: Convert to fraction form
    8,213.41/12,314.04 = 3,279.30/x
  3. Step 3: Cross multiply
    8,213.41x = 12,314.04 × 3,279.30
  4. Step 4: Simplify right side
    8,213.41x = 40,381,372.90
  5. Step 5: Solve for x
    x = 40,381,372.90/8,213.41
  6. Step 6: Final answer
    x = 4,916.52

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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.