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Finding the Fourth Proportional to 11,917.62, 17,892.86 and 6,078.33

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Solution

The fourth proportional to 11,917.62, 17,892.86 and 6,078.33 is: 9,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.62 : 17,892.86 = 6,078.33 : x
  2. Step 2: Convert to fraction form
    11,917.62/17,892.86 = 6,078.33/x
  3. Step 3: Cross multiply
    11,917.62x = 17,892.86 × 6,078.33
  4. Step 4: Simplify right side
    11,917.62x = 108,758,677.33
  5. Step 5: Solve for x
    x = 108,758,677.33/11,917.62
  6. Step 6: Final answer
    x = 9,125.87

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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.