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Finding the Fourth Proportional to 8,213.88, 12,322.80 and 2,667.78

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Solution

The fourth proportional to 8,213.88, 12,322.80 and 2,667.78 is: 4,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.88 : 12,322.80 = 2,667.78 : x
  2. Step 2: Convert to fraction form
    8,213.88/12,322.80 = 2,667.78/x
  3. Step 3: Cross multiply
    8,213.88x = 12,322.80 × 2,667.78
  4. Step 4: Simplify right side
    8,213.88x = 32,874,519.38
  5. Step 5: Solve for x
    x = 32,874,519.38/8,213.88
  6. Step 6: Final answer
    x = 4,002.31

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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.