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Finding the Fourth Proportional to 11,902.32, 17,854.37 and 4,004.86

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Solution

The fourth proportional to 11,902.32, 17,854.37 and 4,004.86 is: 6,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.32 : 17,854.37 = 4,004.86 : x
  2. Step 2: Convert to fraction form
    11,902.32/17,854.37 = 4,004.86/x
  3. Step 3: Cross multiply
    11,902.32x = 17,854.37 × 4,004.86
  4. Step 4: Simplify right side
    11,902.32x = 71,504,183.28
  5. Step 5: Solve for x
    x = 71,504,183.28/11,902.32
  6. Step 6: Final answer
    x = 6,007.59

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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.