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Finding the Fourth Proportional to 8,137.38, 12,197.84 and 3,205.10

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Solution

The fourth proportional to 8,137.38, 12,197.84 and 3,205.10 is: 4,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.38 : 12,197.84 = 3,205.10 : x
  2. Step 2: Convert to fraction form
    8,137.38/12,197.84 = 3,205.10/x
  3. Step 3: Cross multiply
    8,137.38x = 12,197.84 × 3,205.10
  4. Step 4: Simplify right side
    8,137.38x = 39,095,296.98
  5. Step 5: Solve for x
    x = 39,095,296.98/8,137.38
  6. Step 6: Final answer
    x = 4,804.41

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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.