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Finding the Fourth Proportional to 8,102.82, 11,183.97 and 5,277.24

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Solution

The fourth proportional to 8,102.82, 11,183.97 and 5,277.24 is: 7,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.82 : 11,183.97 = 5,277.24 : x
  2. Step 2: Convert to fraction form
    8,102.82/11,183.97 = 5,277.24/x
  3. Step 3: Cross multiply
    8,102.82x = 11,183.97 × 5,277.24
  4. Step 4: Simplify right side
    8,102.82x = 59,020,493.84
  5. Step 5: Solve for x
    x = 59,020,493.84/8,102.82
  6. Step 6: Final answer
    x = 7,283.94

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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.