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Finding the Fourth Proportional to 8,023.20, 12,034.80 and 7,221.30

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Solution

The fourth proportional to 8,023.20, 12,034.80 and 7,221.30 is: 10,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.20 : 12,034.80 = 7,221.30 : x
  2. Step 2: Convert to fraction form
    8,023.20/12,034.80 = 7,221.30/x
  3. Step 3: Cross multiply
    8,023.20x = 12,034.80 × 7,221.30
  4. Step 4: Simplify right side
    8,023.20x = 86,906,901.24
  5. Step 5: Solve for x
    x = 86,906,901.24/8,023.20
  6. Step 6: Final answer
    x = 10,831.95

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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.