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Finding the Fourth Proportional to 8,204.22, 11,327.00 and 5,685.44

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Solution

The fourth proportional to 8,204.22, 11,327.00 and 5,685.44 is: 7,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.22 : 11,327.00 = 5,685.44 : x
  2. Step 2: Convert to fraction form
    8,204.22/11,327.00 = 5,685.44/x
  3. Step 3: Cross multiply
    8,204.22x = 11,327.00 × 5,685.44
  4. Step 4: Simplify right side
    8,204.22x = 64,398,893.82
  5. Step 5: Solve for x
    x = 64,398,893.82/8,204.22
  6. Step 6: Final answer
    x = 7,849.48

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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.