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Finding the Fourth Proportional to 11,661.72, 16,093.17 and 6,356.57

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Solution

The fourth proportional to 11,661.72, 16,093.17 and 6,356.57 is: 8,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.72 : 16,093.17 = 6,356.57 : x
  2. Step 2: Convert to fraction form
    11,661.72/16,093.17 = 6,356.57/x
  3. Step 3: Cross multiply
    11,661.72x = 16,093.17 × 6,356.57
  4. Step 4: Simplify right side
    11,661.72x = 102,297,417.75
  5. Step 5: Solve for x
    x = 102,297,417.75/11,661.72
  6. Step 6: Final answer
    x = 8,772.07

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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.