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Finding the Fourth Proportional to 11,661.44, 16,092.87 and 6,356.24

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Solution

The fourth proportional to 11,661.44, 16,092.87 and 6,356.24 is: 8,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.44 : 16,092.87 = 6,356.24 : x
  2. Step 2: Convert to fraction form
    11,661.44/16,092.87 = 6,356.24/x
  3. Step 3: Cross multiply
    11,661.44x = 16,092.87 × 6,356.24
  4. Step 4: Simplify right side
    11,661.44x = 102,290,063.54
  5. Step 5: Solve for x
    x = 102,290,063.54/11,661.44
  6. Step 6: Final answer
    x = 8,771.65

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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.