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Finding the Fourth Proportional to 8,213.82, 12,322.67 and 2,667.16

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Solution

The fourth proportional to 8,213.82, 12,322.67 and 2,667.16 is: 4,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.82 : 12,322.67 = 2,667.16 : x
  2. Step 2: Convert to fraction form
    8,213.82/12,322.67 = 2,667.16/x
  3. Step 3: Cross multiply
    8,213.82x = 12,322.67 × 2,667.16
  4. Step 4: Simplify right side
    8,213.82x = 32,866,532.52
  5. Step 5: Solve for x
    x = 32,866,532.52/8,213.82
  6. Step 6: Final answer
    x = 4,001.37

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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.