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Finding the Fourth Proportional to 7,687.26, 11,532 and 3,738.75

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Solution

The fourth proportional to 7,687.26, 11,532 and 3,738.75 is: 5,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.26 : 11,532 = 3,738.75 : x
  2. Step 2: Convert to fraction form
    7,687.26/11,532 = 3,738.75/x
  3. Step 3: Cross multiply
    7,687.26x = 11,532 × 3,738.75
  4. Step 4: Simplify right side
    7,687.26x = 43,115,265
  5. Step 5: Solve for x
    x = 43,115,265/7,687.26
  6. Step 6: Final answer
    x = 5,608.66

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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.