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Finding the Fourth Proportional to 8,227.92, 11,349.60 and 6,246.24

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Solution

The fourth proportional to 8,227.92, 11,349.60 and 6,246.24 is: 8,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.92 : 11,349.60 = 6,246.24 : x
  2. Step 2: Convert to fraction form
    8,227.92/11,349.60 = 6,246.24/x
  3. Step 3: Cross multiply
    8,227.92x = 11,349.60 × 6,246.24
  4. Step 4: Simplify right side
    8,227.92x = 70,892,325.50
  5. Step 5: Solve for x
    x = 70,892,325.50/8,227.92
  6. Step 6: Final answer
    x = 8,616.07

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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.