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Finding the Fourth Proportional to 8,201.07, 11,288.97 and 7,151.31

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Solution

The fourth proportional to 8,201.07, 11,288.97 and 7,151.31 is: 9,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.07 : 11,288.97 = 7,151.31 : x
  2. Step 2: Convert to fraction form
    8,201.07/11,288.97 = 7,151.31/x
  3. Step 3: Cross multiply
    8,201.07x = 11,288.97 × 7,151.31
  4. Step 4: Simplify right side
    8,201.07x = 80,730,924.05
  5. Step 5: Solve for x
    x = 80,730,924.05/8,201.07
  6. Step 6: Final answer
    x = 9,843.95

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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.