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Finding the Fourth Proportional to 7,096, 9,793.88 and 4,112.48

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Solution

The fourth proportional to 7,096, 9,793.88 and 4,112.48 is: 5,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096 : 9,793.88 = 4,112.48 : x
  2. Step 2: Convert to fraction form
    7,096/9,793.88 = 4,112.48/x
  3. Step 3: Cross multiply
    7,096x = 9,793.88 × 4,112.48
  4. Step 4: Simplify right side
    7,096x = 40,277,135.62
  5. Step 5: Solve for x
    x = 40,277,135.62/7,096
  6. Step 6: Final answer
    x = 5,676.03

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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.