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Finding the Fourth Proportional to 11,761.36, 17,706.22 and 10,728

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Solution

The fourth proportional to 11,761.36, 17,706.22 and 10,728 is: 16,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.36 : 17,706.22 = 10,728 : x
  2. Step 2: Convert to fraction form
    11,761.36/17,706.22 = 10,728/x
  3. Step 3: Cross multiply
    11,761.36x = 17,706.22 × 10,728
  4. Step 4: Simplify right side
    11,761.36x = 189,952,328.16
  5. Step 5: Solve for x
    x = 189,952,328.16/11,761.36
  6. Step 6: Final answer
    x = 16,150.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.