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Finding the Fourth Proportional to 11,922.89, 16,454.02 and 7,204.44

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Solution

The fourth proportional to 11,922.89, 16,454.02 and 7,204.44 is: 9,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.89 : 16,454.02 = 7,204.44 : x
  2. Step 2: Convert to fraction form
    11,922.89/16,454.02 = 7,204.44/x
  3. Step 3: Cross multiply
    11,922.89x = 16,454.02 × 7,204.44
  4. Step 4: Simplify right side
    11,922.89x = 118,541,999.85
  5. Step 5: Solve for x
    x = 118,541,999.85/11,922.89
  6. Step 6: Final answer
    x = 9,942.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.