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Finding the Fourth Proportional to 8,144.73, 12,214.49 and 2,596.77

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Solution

The fourth proportional to 8,144.73, 12,214.49 and 2,596.77 is: 3,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.73 : 12,214.49 = 2,596.77 : x
  2. Step 2: Convert to fraction form
    8,144.73/12,214.49 = 2,596.77/x
  3. Step 3: Cross multiply
    8,144.73x = 12,214.49 × 2,596.77
  4. Step 4: Simplify right side
    8,144.73x = 31,718,243.65
  5. Step 5: Solve for x
    x = 31,718,243.65/8,144.73
  6. Step 6: Final answer
    x = 3,894.33

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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.