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Finding the Fourth Proportional to 7,744.76, 11,618.94 and 2,550.68

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Solution

The fourth proportional to 7,744.76, 11,618.94 and 2,550.68 is: 3,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.76 : 11,618.94 = 2,550.68 : x
  2. Step 2: Convert to fraction form
    7,744.76/11,618.94 = 2,550.68/x
  3. Step 3: Cross multiply
    7,744.76x = 11,618.94 × 2,550.68
  4. Step 4: Simplify right side
    7,744.76x = 29,636,197.88
  5. Step 5: Solve for x
    x = 29,636,197.88/7,744.76
  6. Step 6: Final answer
    x = 3,826.61

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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.