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Finding the Fourth Proportional to 8,023.69, 12,032.48 and 3,213.66

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Solution

The fourth proportional to 8,023.69, 12,032.48 and 3,213.66 is: 4,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.69 : 12,032.48 = 3,213.66 : x
  2. Step 2: Convert to fraction form
    8,023.69/12,032.48 = 3,213.66/x
  3. Step 3: Cross multiply
    8,023.69x = 12,032.48 × 3,213.66
  4. Step 4: Simplify right side
    8,023.69x = 38,668,299.68
  5. Step 5: Solve for x
    x = 38,668,299.68/8,023.69
  6. Step 6: Final answer
    x = 4,819.27

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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.