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Finding the Fourth Proportional to 8,214.09, 12,321.14 and 2,667.44

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Solution

The fourth proportional to 8,214.09, 12,321.14 and 2,667.44 is: 4,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.09 : 12,321.14 = 2,667.44 : x
  2. Step 2: Convert to fraction form
    8,214.09/12,321.14 = 2,667.44/x
  3. Step 3: Cross multiply
    8,214.09x = 12,321.14 × 2,667.44
  4. Step 4: Simplify right side
    8,214.09x = 32,865,901.68
  5. Step 5: Solve for x
    x = 32,865,901.68/8,214.09
  6. Step 6: Final answer
    x = 4,001.16

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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.