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Finding the Fourth Proportional to 8,296.28, 11,440.08 and 6,408.17

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Solution

The fourth proportional to 8,296.28, 11,440.08 and 6,408.17 is: 8,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.28 : 11,440.08 = 6,408.17 : x
  2. Step 2: Convert to fraction form
    8,296.28/11,440.08 = 6,408.17/x
  3. Step 3: Cross multiply
    8,296.28x = 11,440.08 × 6,408.17
  4. Step 4: Simplify right side
    8,296.28x = 73,309,920.25
  5. Step 5: Solve for x
    x = 73,309,920.25/8,296.28
  6. Step 6: Final answer
    x = 8,836.49

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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.