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Finding the Fourth Proportional to 11,763, 17,651.88 and 6,834.96

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Solution

The fourth proportional to 11,763, 17,651.88 and 6,834.96 is: 10,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763 : 17,651.88 = 6,834.96 : x
  2. Step 2: Convert to fraction form
    11,763/17,651.88 = 6,834.96/x
  3. Step 3: Cross multiply
    11,763x = 17,651.88 × 6,834.96
  4. Step 4: Simplify right side
    11,763x = 120,649,893.72
  5. Step 5: Solve for x
    x = 120,649,893.72/11,763
  6. Step 6: Final answer
    x = 10,256.73

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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.