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Finding the Fourth Proportional to 11,671.94, 16,107.38 and 6,366.78

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Solution

The fourth proportional to 11,671.94, 16,107.38 and 6,366.78 is: 8,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.94 : 16,107.38 = 6,366.78 : x
  2. Step 2: Convert to fraction form
    11,671.94/16,107.38 = 6,366.78/x
  3. Step 3: Cross multiply
    11,671.94x = 16,107.38 × 6,366.78
  4. Step 4: Simplify right side
    11,671.94x = 102,552,144.84
  5. Step 5: Solve for x
    x = 102,552,144.84/11,671.94
  6. Step 6: Final answer
    x = 8,786.21

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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.