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Finding the Fourth Proportional to 8,093.25, 11,163.47 and 5,731.29

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Solution

The fourth proportional to 8,093.25, 11,163.47 and 5,731.29 is: 7,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.25 : 11,163.47 = 5,731.29 : x
  2. Step 2: Convert to fraction form
    8,093.25/11,163.47 = 5,731.29/x
  3. Step 3: Cross multiply
    8,093.25x = 11,163.47 × 5,731.29
  4. Step 4: Simplify right side
    8,093.25x = 63,981,055.32
  5. Step 5: Solve for x
    x = 63,981,055.32/8,093.25
  6. Step 6: Final answer
    x = 7,905.48

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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.