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Finding the Fourth Proportional to 11,600.26, 17,396.74 and 3,807.26

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Solution

The fourth proportional to 11,600.26, 17,396.74 and 3,807.26 is: 5,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.26 : 17,396.74 = 3,807.26 : x
  2. Step 2: Convert to fraction form
    11,600.26/17,396.74 = 3,807.26/x
  3. Step 3: Cross multiply
    11,600.26x = 17,396.74 × 3,807.26
  4. Step 4: Simplify right side
    11,600.26x = 66,233,912.33
  5. Step 5: Solve for x
    x = 66,233,912.33/11,600.26
  6. Step 6: Final answer
    x = 5,709.69

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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.