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Finding the Fourth Proportional to 8,201.17, 11,290.22 and 7,824.56

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Solution

The fourth proportional to 8,201.17, 11,290.22 and 7,824.56 is: 10,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.17 : 11,290.22 = 7,824.56 : x
  2. Step 2: Convert to fraction form
    8,201.17/11,290.22 = 7,824.56/x
  3. Step 3: Cross multiply
    8,201.17x = 11,290.22 × 7,824.56
  4. Step 4: Simplify right side
    8,201.17x = 88,341,003.80
  5. Step 5: Solve for x
    x = 88,341,003.80/8,201.17
  6. Step 6: Final answer
    x = 10,771.76

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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.