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Finding the Fourth Proportional to 11,415.96, 17,121.89 and 5,174.81

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Solution

The fourth proportional to 11,415.96, 17,121.89 and 5,174.81 is: 7,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.96 : 17,121.89 = 5,174.81 : x
  2. Step 2: Convert to fraction form
    11,415.96/17,121.89 = 5,174.81/x
  3. Step 3: Cross multiply
    11,415.96x = 17,121.89 × 5,174.81
  4. Step 4: Simplify right side
    11,415.96x = 88,602,583.33
  5. Step 5: Solve for x
    x = 88,602,583.33/11,415.96
  6. Step 6: Final answer
    x = 7,761.29

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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.