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Finding the Fourth Proportional to 11,661.24, 16,092.90 and 6,944.88

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Solution

The fourth proportional to 11,661.24, 16,092.90 and 6,944.88 is: 9,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.24 : 16,092.90 = 6,944.88 : x
  2. Step 2: Convert to fraction form
    11,661.24/16,092.90 = 6,944.88/x
  3. Step 3: Cross multiply
    11,661.24x = 16,092.90 × 6,944.88
  4. Step 4: Simplify right side
    11,661.24x = 111,763,259.35
  5. Step 5: Solve for x
    x = 111,763,259.35/11,661.24
  6. Step 6: Final answer
    x = 9,584.17

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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.