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Finding the Fourth Proportional to 11,433.15, 17,142.84 and 6,163.29

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Solution

The fourth proportional to 11,433.15, 17,142.84 and 6,163.29 is: 9,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.15 : 17,142.84 = 6,163.29 : x
  2. Step 2: Convert to fraction form
    11,433.15/17,142.84 = 6,163.29/x
  3. Step 3: Cross multiply
    11,433.15x = 17,142.84 × 6,163.29
  4. Step 4: Simplify right side
    11,433.15x = 105,656,294.34
  5. Step 5: Solve for x
    x = 105,656,294.34/11,433.15
  6. Step 6: Final answer
    x = 9,241.22

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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.