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Finding the Fourth Proportional to 10,884.56, 16,329.24 and 3,959

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Solution

The fourth proportional to 10,884.56, 16,329.24 and 3,959 is: 5,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.56 : 16,329.24 = 3,959 : x
  2. Step 2: Convert to fraction form
    10,884.56/16,329.24 = 3,959/x
  3. Step 3: Cross multiply
    10,884.56x = 16,329.24 × 3,959
  4. Step 4: Simplify right side
    10,884.56x = 64,647,461.16
  5. Step 5: Solve for x
    x = 64,647,461.16/10,884.56
  6. Step 6: Final answer
    x = 5,939.37

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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.