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Finding the Fourth Proportional to 10,952.68, 16,429.38 and 3,161.56

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Solution

The fourth proportional to 10,952.68, 16,429.38 and 3,161.56 is: 4,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.68 : 16,429.38 = 3,161.56 : x
  2. Step 2: Convert to fraction form
    10,952.68/16,429.38 = 3,161.56/x
  3. Step 3: Cross multiply
    10,952.68x = 16,429.38 × 3,161.56
  4. Step 4: Simplify right side
    10,952.68x = 51,942,470.63
  5. Step 5: Solve for x
    x = 51,942,470.63/10,952.68
  6. Step 6: Final answer
    x = 4,742.44

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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.