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Finding the Fourth Proportional to 11,892.31, 17,833.30 and 6,344.42

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Solution

The fourth proportional to 11,892.31, 17,833.30 and 6,344.42 is: 9,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.31 : 17,833.30 = 6,344.42 : x
  2. Step 2: Convert to fraction form
    11,892.31/17,833.30 = 6,344.42/x
  3. Step 3: Cross multiply
    11,892.31x = 17,833.30 × 6,344.42
  4. Step 4: Simplify right side
    11,892.31x = 113,141,840.16
  5. Step 5: Solve for x
    x = 113,141,840.16/11,892.31
  6. Step 6: Final answer
    x = 9,513.87

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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.