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Finding the Fourth Proportional to 8,028.29, 11,078.73 and 4,491.50

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Solution

The fourth proportional to 8,028.29, 11,078.73 and 4,491.50 is: 6,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.29 : 11,078.73 = 4,491.50 : x
  2. Step 2: Convert to fraction form
    8,028.29/11,078.73 = 4,491.50/x
  3. Step 3: Cross multiply
    8,028.29x = 11,078.73 × 4,491.50
  4. Step 4: Simplify right side
    8,028.29x = 49,760,118.79
  5. Step 5: Solve for x
    x = 49,760,118.79/8,028.29
  6. Step 6: Final answer
    x = 6,198.10

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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.