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Finding the Fourth Proportional to 11,917.75, 17,876.75 and 3,597.83

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Solution

The fourth proportional to 11,917.75, 17,876.75 and 3,597.83 is: 5,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.75 : 17,876.75 = 3,597.83 : x
  2. Step 2: Convert to fraction form
    11,917.75/17,876.75 = 3,597.83/x
  3. Step 3: Cross multiply
    11,917.75x = 17,876.75 × 3,597.83
  4. Step 4: Simplify right side
    11,917.75x = 64,317,507.45
  5. Step 5: Solve for x
    x = 64,317,507.45/11,917.75
  6. Step 6: Final answer
    x = 5,396.78

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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.