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Finding the Fourth Proportional to 8,456.22, 12,694.05 and 5,190.30

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Solution

The fourth proportional to 8,456.22, 12,694.05 and 5,190.30 is: 7,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.22 : 12,694.05 = 5,190.30 : x
  2. Step 2: Convert to fraction form
    8,456.22/12,694.05 = 5,190.30/x
  3. Step 3: Cross multiply
    8,456.22x = 12,694.05 × 5,190.30
  4. Step 4: Simplify right side
    8,456.22x = 65,885,927.72
  5. Step 5: Solve for x
    x = 65,885,927.72/8,456.22
  6. Step 6: Final answer
    x = 7,791.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.