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Finding the Fourth Proportional to 11,754.35, 16,219.97 and 6,717.57

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Solution

The fourth proportional to 11,754.35, 16,219.97 and 6,717.57 is: 9,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.35 : 16,219.97 = 6,717.57 : x
  2. Step 2: Convert to fraction form
    11,754.35/16,219.97 = 6,717.57/x
  3. Step 3: Cross multiply
    11,754.35x = 16,219.97 × 6,717.57
  4. Step 4: Simplify right side
    11,754.35x = 108,958,783.87
  5. Step 5: Solve for x
    x = 108,958,783.87/11,754.35
  6. Step 6: Final answer
    x = 9,269.66

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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.