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Finding the Fourth Proportional to 11,438.57, 17,158.97 and 3,540.77

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Solution

The fourth proportional to 11,438.57, 17,158.97 and 3,540.77 is: 5,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.57 : 17,158.97 = 3,540.77 : x
  2. Step 2: Convert to fraction form
    11,438.57/17,158.97 = 3,540.77/x
  3. Step 3: Cross multiply
    11,438.57x = 17,158.97 × 3,540.77
  4. Step 4: Simplify right side
    11,438.57x = 60,755,862.71
  5. Step 5: Solve for x
    x = 60,755,862.71/11,438.57
  6. Step 6: Final answer
    x = 5,311.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.