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Finding the Fourth Proportional to 8,268.53, 11,410.65 and 4,491.77

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Solution

The fourth proportional to 8,268.53, 11,410.65 and 4,491.77 is: 6,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.53 : 11,410.65 = 4,491.77 : x
  2. Step 2: Convert to fraction form
    8,268.53/11,410.65 = 4,491.77/x
  3. Step 3: Cross multiply
    8,268.53x = 11,410.65 × 4,491.77
  4. Step 4: Simplify right side
    8,268.53x = 51,253,958.30
  5. Step 5: Solve for x
    x = 51,253,958.30/8,268.53
  6. Step 6: Final answer
    x = 6,198.68

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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.