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Finding the Fourth Proportional to 8,229.73, 12,344.02 and 2,682.95

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Solution

The fourth proportional to 8,229.73, 12,344.02 and 2,682.95 is: 4,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.73 : 12,344.02 = 2,682.95 : x
  2. Step 2: Convert to fraction form
    8,229.73/12,344.02 = 2,682.95/x
  3. Step 3: Cross multiply
    8,229.73x = 12,344.02 × 2,682.95
  4. Step 4: Simplify right side
    8,229.73x = 33,118,362.29
  5. Step 5: Solve for x
    x = 33,118,362.29/8,229.73
  6. Step 6: Final answer
    x = 4,024.24

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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.