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Finding the Fourth Proportional to 11,757.48, 17,638.83 and 3,438.24

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Solution

The fourth proportional to 11,757.48, 17,638.83 and 3,438.24 is: 5,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.48 : 17,638.83 = 3,438.24 : x
  2. Step 2: Convert to fraction form
    11,757.48/17,638.83 = 3,438.24/x
  3. Step 3: Cross multiply
    11,757.48x = 17,638.83 × 3,438.24
  4. Step 4: Simplify right side
    11,757.48x = 60,646,530.86
  5. Step 5: Solve for x
    x = 60,646,530.86/11,757.48
  6. Step 6: Final answer
    x = 5,158.12

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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.