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Finding the Fourth Proportional to 11,974.10, 16,524.28 and 6,939.29

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Solution

The fourth proportional to 11,974.10, 16,524.28 and 6,939.29 is: 9,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.10 : 16,524.28 = 6,939.29 : x
  2. Step 2: Convert to fraction form
    11,974.10/16,524.28 = 6,939.29/x
  3. Step 3: Cross multiply
    11,974.10x = 16,524.28 × 6,939.29
  4. Step 4: Simplify right side
    11,974.10x = 114,666,770.96
  5. Step 5: Solve for x
    x = 114,666,770.96/11,974.10
  6. Step 6: Final answer
    x = 9,576.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.