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Finding the Fourth Proportional to 11,771.36, 16,236.17 and 7,234.27

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Solution

The fourth proportional to 11,771.36, 16,236.17 and 7,234.27 is: 9,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.36 : 16,236.17 = 7,234.27 : x
  2. Step 2: Convert to fraction form
    11,771.36/16,236.17 = 7,234.27/x
  3. Step 3: Cross multiply
    11,771.36x = 16,236.17 × 7,234.27
  4. Step 4: Simplify right side
    11,771.36x = 117,456,848.16
  5. Step 5: Solve for x
    x = 117,456,848.16/11,771.36
  6. Step 6: Final answer
    x = 9,978.19

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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.