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Finding the Fourth Proportional to 8,144.44, 12,217.34 and 2,598.57

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Solution

The fourth proportional to 8,144.44, 12,217.34 and 2,598.57 is: 3,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.44 : 12,217.34 = 2,598.57 : x
  2. Step 2: Convert to fraction form
    8,144.44/12,217.34 = 2,598.57/x
  3. Step 3: Cross multiply
    8,144.44x = 12,217.34 × 2,598.57
  4. Step 4: Simplify right side
    8,144.44x = 31,747,619.70
  5. Step 5: Solve for x
    x = 31,747,619.70/8,144.44
  6. Step 6: Final answer
    x = 3,898.07

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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.