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Finding the Fourth Proportional to 11,647.28, 16,073.88 and 6,679.28

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Solution

The fourth proportional to 11,647.28, 16,073.88 and 6,679.28 is: 9,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.28 : 16,073.88 = 6,679.28 : x
  2. Step 2: Convert to fraction form
    11,647.28/16,073.88 = 6,679.28/x
  3. Step 3: Cross multiply
    11,647.28x = 16,073.88 × 6,679.28
  4. Step 4: Simplify right side
    11,647.28x = 107,361,945.21
  5. Step 5: Solve for x
    x = 107,361,945.21/11,647.28
  6. Step 6: Final answer
    x = 9,217.77

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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.