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Finding the Fourth Proportional to 11,722.26, 17,567.91 and 7,027.14

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Solution

The fourth proportional to 11,722.26, 17,567.91 and 7,027.14 is: 10,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.26 : 17,567.91 = 7,027.14 : x
  2. Step 2: Convert to fraction form
    11,722.26/17,567.91 = 7,027.14/x
  3. Step 3: Cross multiply
    11,722.26x = 17,567.91 × 7,027.14
  4. Step 4: Simplify right side
    11,722.26x = 123,452,163.08
  5. Step 5: Solve for x
    x = 123,452,163.08/11,722.26
  6. Step 6: Final answer
    x = 10,531.43

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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.