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Finding the Fourth Proportional to 11,653.31, 17,480.39 and 3,861.92

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Solution

The fourth proportional to 11,653.31, 17,480.39 and 3,861.92 is: 5,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.31 : 17,480.39 = 3,861.92 : x
  2. Step 2: Convert to fraction form
    11,653.31/17,480.39 = 3,861.92/x
  3. Step 3: Cross multiply
    11,653.31x = 17,480.39 × 3,861.92
  4. Step 4: Simplify right side
    11,653.31x = 67,507,892.14
  5. Step 5: Solve for x
    x = 67,507,892.14/11,653.31
  6. Step 6: Final answer
    x = 5,793.02

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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.