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Finding the Fourth Proportional to 11,633.96, 17,441.76 and 5,787.38

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Solution

The fourth proportional to 11,633.96, 17,441.76 and 5,787.38 is: 8,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.96 : 17,441.76 = 5,787.38 : x
  2. Step 2: Convert to fraction form
    11,633.96/17,441.76 = 5,787.38/x
  3. Step 3: Cross multiply
    11,633.96x = 17,441.76 × 5,787.38
  4. Step 4: Simplify right side
    11,633.96x = 100,942,092.99
  5. Step 5: Solve for x
    x = 100,942,092.99/11,633.96
  6. Step 6: Final answer
    x = 8,676.50

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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.