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Finding the Fourth Proportional to 11,661.56, 16,093.29 and 6,356.71

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Solution

The fourth proportional to 11,661.56, 16,093.29 and 6,356.71 is: 8,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.56 : 16,093.29 = 6,356.71 : x
  2. Step 2: Convert to fraction form
    11,661.56/16,093.29 = 6,356.71/x
  3. Step 3: Cross multiply
    11,661.56x = 16,093.29 × 6,356.71
  4. Step 4: Simplify right side
    11,661.56x = 102,300,377.48
  5. Step 5: Solve for x
    x = 102,300,377.48/11,661.56
  6. Step 6: Final answer
    x = 8,772.44

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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.