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Finding the Fourth Proportional to 11,785.96, 17,661.66 and 8,329.96

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Solution

The fourth proportional to 11,785.96, 17,661.66 and 8,329.96 is: 12,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.96 : 17,661.66 = 8,329.96 : x
  2. Step 2: Convert to fraction form
    11,785.96/17,661.66 = 8,329.96/x
  3. Step 3: Cross multiply
    11,785.96x = 17,661.66 × 8,329.96
  4. Step 4: Simplify right side
    11,785.96x = 147,120,921.33
  5. Step 5: Solve for x
    x = 147,120,921.33/11,785.96
  6. Step 6: Final answer
    x = 12,482.73

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Why These Related Problems?

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