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Finding the Fourth Proportional to 10,777.87, 16,174.23 and 3,757.94

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Solution

The fourth proportional to 10,777.87, 16,174.23 and 3,757.94 is: 5,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.87 : 16,174.23 = 3,757.94 : x
  2. Step 2: Convert to fraction form
    10,777.87/16,174.23 = 3,757.94/x
  3. Step 3: Cross multiply
    10,777.87x = 16,174.23 × 3,757.94
  4. Step 4: Simplify right side
    10,777.87x = 60,781,785.89
  5. Step 5: Solve for x
    x = 60,781,785.89/10,777.87
  6. Step 6: Final answer
    x = 5,639.50

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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.