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Finding the Fourth Proportional to 11,806.84, 17,677.15 and 6,247.61

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Solution

The fourth proportional to 11,806.84, 17,677.15 and 6,247.61 is: 9,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.84 : 17,677.15 = 6,247.61 : x
  2. Step 2: Convert to fraction form
    11,806.84/17,677.15 = 6,247.61/x
  3. Step 3: Cross multiply
    11,806.84x = 17,677.15 × 6,247.61
  4. Step 4: Simplify right side
    11,806.84x = 110,439,939.11
  5. Step 5: Solve for x
    x = 110,439,939.11/11,806.84
  6. Step 6: Final answer
    x = 9,353.89

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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.