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Finding the Fourth Proportional to 11,659.38, 16,094.61 and 6,942.75

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Solution

The fourth proportional to 11,659.38, 16,094.61 and 6,942.75 is: 9,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.38 : 16,094.61 = 6,942.75 : x
  2. Step 2: Convert to fraction form
    11,659.38/16,094.61 = 6,942.75/x
  3. Step 3: Cross multiply
    11,659.38x = 16,094.61 × 6,942.75
  4. Step 4: Simplify right side
    11,659.38x = 111,740,853.58
  5. Step 5: Solve for x
    x = 111,740,853.58/11,659.38
  6. Step 6: Final answer
    x = 9,583.77

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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.