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Finding the Fourth Proportional to 8,102.84, 11,183.77 and 6,774.23

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Solution

The fourth proportional to 8,102.84, 11,183.77 and 6,774.23 is: 9,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.84 : 11,183.77 = 6,774.23 : x
  2. Step 2: Convert to fraction form
    8,102.84/11,183.77 = 6,774.23/x
  3. Step 3: Cross multiply
    8,102.84x = 11,183.77 × 6,774.23
  4. Step 4: Simplify right side
    8,102.84x = 75,761,466.67
  5. Step 5: Solve for x
    x = 75,761,466.67/8,102.84
  6. Step 6: Final answer
    x = 9,349.99

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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.