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Finding the Fourth Proportional to 11,706.77, 17,565.83 and 10,744.49

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Solution

The fourth proportional to 11,706.77, 17,565.83 and 10,744.49 is: 16,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.77 : 17,565.83 = 10,744.49 : x
  2. Step 2: Convert to fraction form
    11,706.77/17,565.83 = 10,744.49/x
  3. Step 3: Cross multiply
    11,706.77x = 17,565.83 × 10,744.49
  4. Step 4: Simplify right side
    11,706.77x = 188,735,884.78
  5. Step 5: Solve for x
    x = 188,735,884.78/11,706.77
  6. Step 6: Final answer
    x = 16,121.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.