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Finding the Fourth Proportional to 11,653.72, 17,481.74 and 3,863.12

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Solution

The fourth proportional to 11,653.72, 17,481.74 and 3,863.12 is: 5,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.72 : 17,481.74 = 3,863.12 : x
  2. Step 2: Convert to fraction form
    11,653.72/17,481.74 = 3,863.12/x
  3. Step 3: Cross multiply
    11,653.72x = 17,481.74 × 3,863.12
  4. Step 4: Simplify right side
    11,653.72x = 67,534,059.43
  5. Step 5: Solve for x
    x = 67,534,059.43/11,653.72
  6. Step 6: Final answer
    x = 5,795.06

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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.