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Finding the Fourth Proportional to 8,296.26, 11,449.59 and 5,270.88

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Solution

The fourth proportional to 8,296.26, 11,449.59 and 5,270.88 is: 7,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.26 : 11,449.59 = 5,270.88 : x
  2. Step 2: Convert to fraction form
    8,296.26/11,449.59 = 5,270.88/x
  3. Step 3: Cross multiply
    8,296.26x = 11,449.59 × 5,270.88
  4. Step 4: Simplify right side
    8,296.26x = 60,349,414.94
  5. Step 5: Solve for x
    x = 60,349,414.94/8,296.26
  6. Step 6: Final answer
    x = 7,274.29

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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.