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Finding the Fourth Proportional to 8,213.96, 12,322.98 and 2,667.32

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Solution

The fourth proportional to 8,213.96, 12,322.98 and 2,667.32 is: 4,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.96 : 12,322.98 = 2,667.32 : x
  2. Step 2: Convert to fraction form
    8,213.96/12,322.98 = 2,667.32/x
  3. Step 3: Cross multiply
    8,213.96x = 12,322.98 × 2,667.32
  4. Step 4: Simplify right side
    8,213.96x = 32,869,331.01
  5. Step 5: Solve for x
    x = 32,869,331.01/8,213.96
  6. Step 6: Final answer
    x = 4,001.64

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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.