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Finding the Fourth Proportional to 11,662.28, 16,092.72 and 6,945.72

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Solution

The fourth proportional to 11,662.28, 16,092.72 and 6,945.72 is: 9,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.28 : 16,092.72 = 6,945.72 : x
  2. Step 2: Convert to fraction form
    11,662.28/16,092.72 = 6,945.72/x
  3. Step 3: Cross multiply
    11,662.28x = 16,092.72 × 6,945.72
  4. Step 4: Simplify right side
    11,662.28x = 111,775,527.16
  5. Step 5: Solve for x
    x = 111,775,527.16/11,662.28
  6. Step 6: Final answer
    x = 9,584.36

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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.