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Finding the Fourth Proportional to 8,028.74, 11,078.90 and 4,491.20

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Solution

The fourth proportional to 8,028.74, 11,078.90 and 4,491.20 is: 6,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.74 : 11,078.90 = 4,491.20 : x
  2. Step 2: Convert to fraction form
    8,028.74/11,078.90 = 4,491.20/x
  3. Step 3: Cross multiply
    8,028.74x = 11,078.90 × 4,491.20
  4. Step 4: Simplify right side
    8,028.74x = 49,757,555.68
  5. Step 5: Solve for x
    x = 49,757,555.68/8,028.74
  6. Step 6: Final answer
    x = 6,197.43

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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.