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Finding the Fourth Proportional to 8,144.10, 12,217.02 and 2,596.98

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Solution

The fourth proportional to 8,144.10, 12,217.02 and 2,596.98 is: 3,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.10 : 12,217.02 = 2,596.98 : x
  2. Step 2: Convert to fraction form
    8,144.10/12,217.02 = 2,596.98/x
  3. Step 3: Cross multiply
    8,144.10x = 12,217.02 × 2,596.98
  4. Step 4: Simplify right side
    8,144.10x = 31,727,356.60
  5. Step 5: Solve for x
    x = 31,727,356.60/8,144.10
  6. Step 6: Final answer
    x = 3,895.75

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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.