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Finding the Fourth Proportional to 7,744.40, 11,617.40 and 2,550.28

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Solution

The fourth proportional to 7,744.40, 11,617.40 and 2,550.28 is: 3,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.40 : 11,617.40 = 2,550.28 : x
  2. Step 2: Convert to fraction form
    7,744.40/11,617.40 = 2,550.28/x
  3. Step 3: Cross multiply
    7,744.40x = 11,617.40 × 2,550.28
  4. Step 4: Simplify right side
    7,744.40x = 29,627,622.87
  5. Step 5: Solve for x
    x = 29,627,622.87/7,744.40
  6. Step 6: Final answer
    x = 3,825.68

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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.