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Finding the Fourth Proportional to 8,107.99, 11,183.47 and 4,965.73

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Solution

The fourth proportional to 8,107.99, 11,183.47 and 4,965.73 is: 6,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.99 : 11,183.47 = 4,965.73 : x
  2. Step 2: Convert to fraction form
    8,107.99/11,183.47 = 4,965.73/x
  3. Step 3: Cross multiply
    8,107.99x = 11,183.47 × 4,965.73
  4. Step 4: Simplify right side
    8,107.99x = 55,534,092.48
  5. Step 5: Solve for x
    x = 55,534,092.48/8,107.99
  6. Step 6: Final answer
    x = 6,849.30

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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.