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Finding the Fourth Proportional to 8,222.97, 12,333.23 and 3,027.63

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Solution

The fourth proportional to 8,222.97, 12,333.23 and 3,027.63 is: 4,540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.97 : 12,333.23 = 3,027.63 : x
  2. Step 2: Convert to fraction form
    8,222.97/12,333.23 = 3,027.63/x
  3. Step 3: Cross multiply
    8,222.97x = 12,333.23 × 3,027.63
  4. Step 4: Simplify right side
    8,222.97x = 37,340,380.34
  5. Step 5: Solve for x
    x = 37,340,380.34/8,222.97
  6. Step 6: Final answer
    x = 4,540.99

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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.