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Finding the Fourth Proportional to 8,137.44, 12,206.16 and 2,293.29

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Solution

The fourth proportional to 8,137.44, 12,206.16 and 2,293.29 is: 3,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.44 : 12,206.16 = 2,293.29 : x
  2. Step 2: Convert to fraction form
    8,137.44/12,206.16 = 2,293.29/x
  3. Step 3: Cross multiply
    8,137.44x = 12,206.16 × 2,293.29
  4. Step 4: Simplify right side
    8,137.44x = 27,992,264.67
  5. Step 5: Solve for x
    x = 27,992,264.67/8,137.44
  6. Step 6: Final answer
    x = 3,439.94

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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.