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Finding the Fourth Proportional to 11,324.37, 16,960.69 and 5,405.42

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Solution

The fourth proportional to 11,324.37, 16,960.69 and 5,405.42 is: 8,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.37 : 16,960.69 = 5,405.42 : x
  2. Step 2: Convert to fraction form
    11,324.37/16,960.69 = 5,405.42/x
  3. Step 3: Cross multiply
    11,324.37x = 16,960.69 × 5,405.42
  4. Step 4: Simplify right side
    11,324.37x = 91,679,652.94
  5. Step 5: Solve for x
    x = 91,679,652.94/11,324.37
  6. Step 6: Final answer
    x = 8,095.78

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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.