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Finding the Fourth Proportional to 11,663.92, 16,091.60 and 7,686.96

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Solution

The fourth proportional to 11,663.92, 16,091.60 and 7,686.96 is: 10,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.92 : 16,091.60 = 7,686.96 : x
  2. Step 2: Convert to fraction form
    11,663.92/16,091.60 = 7,686.96/x
  3. Step 3: Cross multiply
    11,663.92x = 16,091.60 × 7,686.96
  4. Step 4: Simplify right side
    11,663.92x = 123,695,485.54
  5. Step 5: Solve for x
    x = 123,695,485.54/11,663.92
  6. Step 6: Final answer
    x = 10,604.97

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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.