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Finding the Fourth Proportional to 8,107.53, 11,190.24 and 6,778.92

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Solution

The fourth proportional to 8,107.53, 11,190.24 and 6,778.92 is: 9,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.53 : 11,190.24 = 6,778.92 : x
  2. Step 2: Convert to fraction form
    8,107.53/11,190.24 = 6,778.92/x
  3. Step 3: Cross multiply
    8,107.53x = 11,190.24 × 6,778.92
  4. Step 4: Simplify right side
    8,107.53x = 75,857,741.74
  5. Step 5: Solve for x
    x = 75,857,741.74/8,107.53
  6. Step 6: Final answer
    x = 9,356.46

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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.