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Finding the Fourth Proportional to 11,922.80, 17,878.44 and 6,994.04

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Solution

The fourth proportional to 11,922.80, 17,878.44 and 6,994.04 is: 10,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.80 : 17,878.44 = 6,994.04 : x
  2. Step 2: Convert to fraction form
    11,922.80/17,878.44 = 6,994.04/x
  3. Step 3: Cross multiply
    11,922.80x = 17,878.44 × 6,994.04
  4. Step 4: Simplify right side
    11,922.80x = 125,042,524.50
  5. Step 5: Solve for x
    x = 125,042,524.50/11,922.80
  6. Step 6: Final answer
    x = 10,487.68

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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.