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Finding the Fourth Proportional to 8,214.75, 12,324.08 and 2,668.11

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Solution

The fourth proportional to 8,214.75, 12,324.08 and 2,668.11 is: 4,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.75 : 12,324.08 = 2,668.11 : x
  2. Step 2: Convert to fraction form
    8,214.75/12,324.08 = 2,668.11/x
  3. Step 3: Cross multiply
    8,214.75x = 12,324.08 × 2,668.11
  4. Step 4: Simplify right side
    8,214.75x = 32,881,987.75
  5. Step 5: Solve for x
    x = 32,881,987.75/8,214.75
  6. Step 6: Final answer
    x = 4,002.80

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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.