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Finding the Fourth Proportional to 11,785.75, 17,684.24 and 6,855.77

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Solution

The fourth proportional to 11,785.75, 17,684.24 and 6,855.77 is: 10,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.75 : 17,684.24 = 6,855.77 : x
  2. Step 2: Convert to fraction form
    11,785.75/17,684.24 = 6,855.77/x
  3. Step 3: Cross multiply
    11,785.75x = 17,684.24 × 6,855.77
  4. Step 4: Simplify right side
    11,785.75x = 121,239,092.00
  5. Step 5: Solve for x
    x = 121,239,092.00/11,785.75
  6. Step 6: Final answer
    x = 10,286.92

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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.