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Finding the Fourth Proportional to 8,027.92, 11,078.48 and 4,491.16

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Solution

The fourth proportional to 8,027.92, 11,078.48 and 4,491.16 is: 6,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.92 : 11,078.48 = 4,491.16 : x
  2. Step 2: Convert to fraction form
    8,027.92/11,078.48 = 4,491.16/x
  3. Step 3: Cross multiply
    8,027.92x = 11,078.48 × 4,491.16
  4. Step 4: Simplify right side
    8,027.92x = 49,755,226.24
  5. Step 5: Solve for x
    x = 49,755,226.24/8,027.92
  6. Step 6: Final answer
    x = 6,197.77

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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.