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Finding the Fourth Proportional to 11,661.75, 16,093.41 and 6,356.86

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Solution

The fourth proportional to 11,661.75, 16,093.41 and 6,356.86 is: 8,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.75 : 16,093.41 = 6,356.86 : x
  2. Step 2: Convert to fraction form
    11,661.75/16,093.41 = 6,356.86/x
  3. Step 3: Cross multiply
    11,661.75x = 16,093.41 × 6,356.86
  4. Step 4: Simplify right side
    11,661.75x = 102,303,554.29
  5. Step 5: Solve for x
    x = 102,303,554.29/11,661.75
  6. Step 6: Final answer
    x = 8,772.57

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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.