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Finding the Fourth Proportional to 8,288.26, 11,415.60 and 7,169.24

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Solution

The fourth proportional to 8,288.26, 11,415.60 and 7,169.24 is: 9,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.26 : 11,415.60 = 7,169.24 : x
  2. Step 2: Convert to fraction form
    8,288.26/11,415.60 = 7,169.24/x
  3. Step 3: Cross multiply
    8,288.26x = 11,415.60 × 7,169.24
  4. Step 4: Simplify right side
    8,288.26x = 81,841,204.68
  5. Step 5: Solve for x
    x = 81,841,204.68/8,288.26
  6. Step 6: Final answer
    x = 9,874.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.