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Finding the Fourth Proportional to 11,414.89, 17,128.54 and 5,174.42

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Solution

The fourth proportional to 11,414.89, 17,128.54 and 5,174.42 is: 7,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.89 : 17,128.54 = 5,174.42 : x
  2. Step 2: Convert to fraction form
    11,414.89/17,128.54 = 5,174.42/x
  3. Step 3: Cross multiply
    11,414.89x = 17,128.54 × 5,174.42
  4. Step 4: Simplify right side
    11,414.89x = 88,630,238.48
  5. Step 5: Solve for x
    x = 88,630,238.48/11,414.89
  6. Step 6: Final answer
    x = 7,764.44

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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.