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Finding the Fourth Proportional to 11,910.17, 16,436.79 and 6,874.61

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Solution

The fourth proportional to 11,910.17, 16,436.79 and 6,874.61 is: 9,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.17 : 16,436.79 = 6,874.61 : x
  2. Step 2: Convert to fraction form
    11,910.17/16,436.79 = 6,874.61/x
  3. Step 3: Cross multiply
    11,910.17x = 16,436.79 × 6,874.61
  4. Step 4: Simplify right side
    11,910.17x = 112,996,438.72
  5. Step 5: Solve for x
    x = 112,996,438.72/11,910.17
  6. Step 6: Final answer
    x = 9,487.39

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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.