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Finding the Fourth Proportional to 11,757.57, 16,226.46 and 6,453.42

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Solution

The fourth proportional to 11,757.57, 16,226.46 and 6,453.42 is: 8,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.57 : 16,226.46 = 6,453.42 : x
  2. Step 2: Convert to fraction form
    11,757.57/16,226.46 = 6,453.42/x
  3. Step 3: Cross multiply
    11,757.57x = 16,226.46 × 6,453.42
  4. Step 4: Simplify right side
    11,757.57x = 104,716,161.49
  5. Step 5: Solve for x
    x = 104,716,161.49/11,757.57
  6. Step 6: Final answer
    x = 8,906.28

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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.