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Finding the Fourth Proportional to 11,787.92, 16,273.32 and 11,144.72

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Solution

The fourth proportional to 11,787.92, 16,273.32 and 11,144.72 is: 15,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.92 : 16,273.32 = 11,144.72 : x
  2. Step 2: Convert to fraction form
    11,787.92/16,273.32 = 11,144.72/x
  3. Step 3: Cross multiply
    11,787.92x = 16,273.32 × 11,144.72
  4. Step 4: Simplify right side
    11,787.92x = 181,361,594.87
  5. Step 5: Solve for x
    x = 181,361,594.87/11,787.92
  6. Step 6: Final answer
    x = 15,385.38

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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.