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Finding the Fourth Proportional to 7,738.50, 11,608.02 and 2,544.78

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Solution

The fourth proportional to 7,738.50, 11,608.02 and 2,544.78 is: 3,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.50 : 11,608.02 = 2,544.78 : x
  2. Step 2: Convert to fraction form
    7,738.50/11,608.02 = 2,544.78/x
  3. Step 3: Cross multiply
    7,738.50x = 11,608.02 × 2,544.78
  4. Step 4: Simplify right side
    7,738.50x = 29,539,857.14
  5. Step 5: Solve for x
    x = 29,539,857.14/7,738.50
  6. Step 6: Final answer
    x = 3,817.26

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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.