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Finding the Fourth Proportional to 10,952.72, 16,431.86 and 3,161.53

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Solution

The fourth proportional to 10,952.72, 16,431.86 and 3,161.53 is: 4,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.72 : 16,431.86 = 3,161.53 : x
  2. Step 2: Convert to fraction form
    10,952.72/16,431.86 = 3,161.53/x
  3. Step 3: Cross multiply
    10,952.72x = 16,431.86 × 3,161.53
  4. Step 4: Simplify right side
    10,952.72x = 51,949,846.79
  5. Step 5: Solve for x
    x = 51,949,846.79/10,952.72
  6. Step 6: Final answer
    x = 4,743.10

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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.