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Finding the Fourth Proportional to 8,396.57, 12,589.70 and 2,849.49

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Solution

The fourth proportional to 8,396.57, 12,589.70 and 2,849.49 is: 4,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.57 : 12,589.70 = 2,849.49 : x
  2. Step 2: Convert to fraction form
    8,396.57/12,589.70 = 2,849.49/x
  3. Step 3: Cross multiply
    8,396.57x = 12,589.70 × 2,849.49
  4. Step 4: Simplify right side
    8,396.57x = 35,874,210.01
  5. Step 5: Solve for x
    x = 35,874,210.01/8,396.57
  6. Step 6: Final answer
    x = 4,272.48

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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.