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Finding the Fourth Proportional to 11,758.53, 17,638.20 and 3,861.22

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Solution

The fourth proportional to 11,758.53, 17,638.20 and 3,861.22 is: 5,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.53 : 17,638.20 = 3,861.22 : x
  2. Step 2: Convert to fraction form
    11,758.53/17,638.20 = 3,861.22/x
  3. Step 3: Cross multiply
    11,758.53x = 17,638.20 × 3,861.22
  4. Step 4: Simplify right side
    11,758.53x = 68,104,970.60
  5. Step 5: Solve for x
    x = 68,104,970.60/11,758.53
  6. Step 6: Final answer
    x = 5,791.97

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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.