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Finding the Fourth Proportional to 11,872.35, 17,806.10 and 4,081.77

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Solution

The fourth proportional to 11,872.35, 17,806.10 and 4,081.77 is: 6,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.35 : 17,806.10 = 4,081.77 : x
  2. Step 2: Convert to fraction form
    11,872.35/17,806.10 = 4,081.77/x
  3. Step 3: Cross multiply
    11,872.35x = 17,806.10 × 4,081.77
  4. Step 4: Simplify right side
    11,872.35x = 72,680,384.39
  5. Step 5: Solve for x
    x = 72,680,384.39/11,872.35
  6. Step 6: Final answer
    x = 6,121.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.