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Finding the Fourth Proportional to 11,091.62, 15,285.39 and 7,942.34

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Solution

The fourth proportional to 11,091.62, 15,285.39 and 7,942.34 is: 10,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091.62 : 15,285.39 = 7,942.34 : x
  2. Step 2: Convert to fraction form
    11,091.62/15,285.39 = 7,942.34/x
  3. Step 3: Cross multiply
    11,091.62x = 15,285.39 × 7,942.34
  4. Step 4: Simplify right side
    11,091.62x = 121,401,764.41
  5. Step 5: Solve for x
    x = 121,401,764.41/11,091.62
  6. Step 6: Final answer
    x = 10,945.36

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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.