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Finding the Fourth Proportional to 8,431.10, 12,640.49 and 3,493.95

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Solution

The fourth proportional to 8,431.10, 12,640.49 and 3,493.95 is: 5,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.10 : 12,640.49 = 3,493.95 : x
  2. Step 2: Convert to fraction form
    8,431.10/12,640.49 = 3,493.95/x
  3. Step 3: Cross multiply
    8,431.10x = 12,640.49 × 3,493.95
  4. Step 4: Simplify right side
    8,431.10x = 44,165,201.37
  5. Step 5: Solve for x
    x = 44,165,201.37/8,431.10
  6. Step 6: Final answer
    x = 5,238.37

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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.