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Finding the Fourth Proportional to 8,137.14, 12,205.80 and 2,293.80

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Solution

The fourth proportional to 8,137.14, 12,205.80 and 2,293.80 is: 3,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.14 : 12,205.80 = 2,293.80 : x
  2. Step 2: Convert to fraction form
    8,137.14/12,205.80 = 2,293.80/x
  3. Step 3: Cross multiply
    8,137.14x = 12,205.80 × 2,293.80
  4. Step 4: Simplify right side
    8,137.14x = 27,997,664.04
  5. Step 5: Solve for x
    x = 27,997,664.04/8,137.14
  6. Step 6: Final answer
    x = 3,440.73

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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.