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Finding the Fourth Proportional to 11,294.92, 16,944.36 and 3,797.76

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Solution

The fourth proportional to 11,294.92, 16,944.36 and 3,797.76 is: 5,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.92 : 16,944.36 = 3,797.76 : x
  2. Step 2: Convert to fraction form
    11,294.92/16,944.36 = 3,797.76/x
  3. Step 3: Cross multiply
    11,294.92x = 16,944.36 × 3,797.76
  4. Step 4: Simplify right side
    11,294.92x = 64,350,664.49
  5. Step 5: Solve for x
    x = 64,350,664.49/11,294.92
  6. Step 6: Final answer
    x = 5,697.31

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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.