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Finding the Fourth Proportional to 11,661.41, 16,092.64 and 6,356.23

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Solution

The fourth proportional to 11,661.41, 16,092.64 and 6,356.23 is: 8,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.41 : 16,092.64 = 6,356.23 : x
  2. Step 2: Convert to fraction form
    11,661.41/16,092.64 = 6,356.23/x
  3. Step 3: Cross multiply
    11,661.41x = 16,092.64 × 6,356.23
  4. Step 4: Simplify right side
    11,661.41x = 102,288,521.15
  5. Step 5: Solve for x
    x = 102,288,521.15/11,661.41
  6. Step 6: Final answer
    x = 8,771.54

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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.