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Finding the Fourth Proportional to 8,086, 11,161.56 and 4,774

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Solution

The fourth proportional to 8,086, 11,161.56 and 4,774 is: 6,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086 : 11,161.56 = 4,774 : x
  2. Step 2: Convert to fraction form
    8,086/11,161.56 = 4,774/x
  3. Step 3: Cross multiply
    8,086x = 11,161.56 × 4,774
  4. Step 4: Simplify right side
    8,086x = 53,285,287.44
  5. Step 5: Solve for x
    x = 53,285,287.44/8,086
  6. Step 6: Final answer
    x = 6,589.82

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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.