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Finding the Fourth Proportional to 11,573.62, 17,361.39 and 3,782.26

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Solution

The fourth proportional to 11,573.62, 17,361.39 and 3,782.26 is: 5,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.62 : 17,361.39 = 3,782.26 : x
  2. Step 2: Convert to fraction form
    11,573.62/17,361.39 = 3,782.26/x
  3. Step 3: Cross multiply
    11,573.62x = 17,361.39 × 3,782.26
  4. Step 4: Simplify right side
    11,573.62x = 65,665,290.94
  5. Step 5: Solve for x
    x = 65,665,290.94/11,573.62
  6. Step 6: Final answer
    x = 5,673.70

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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.