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Finding the Fourth Proportional to 11,767.68, 16,241.31 and 11,378.48

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Solution

The fourth proportional to 11,767.68, 16,241.31 and 11,378.48 is: 15,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.68 : 16,241.31 = 11,378.48 : x
  2. Step 2: Convert to fraction form
    11,767.68/16,241.31 = 11,378.48/x
  3. Step 3: Cross multiply
    11,767.68x = 16,241.31 × 11,378.48
  4. Step 4: Simplify right side
    11,767.68x = 184,801,339.80
  5. Step 5: Solve for x
    x = 184,801,339.80/11,767.68
  6. Step 6: Final answer
    x = 15,704.14

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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.