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Finding the Fourth Proportional to 7,893.22, 11,834.34 and 3,994.96

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Solution

The fourth proportional to 7,893.22, 11,834.34 and 3,994.96 is: 5,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.22 : 11,834.34 = 3,994.96 : x
  2. Step 2: Convert to fraction form
    7,893.22/11,834.34 = 3,994.96/x
  3. Step 3: Cross multiply
    7,893.22x = 11,834.34 × 3,994.96
  4. Step 4: Simplify right side
    7,893.22x = 47,277,714.93
  5. Step 5: Solve for x
    x = 47,277,714.93/7,893.22
  6. Step 6: Final answer
    x = 5,989.66

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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.