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Finding the Fourth Proportional to 10,315.31, 15,472.79 and 3,295.27

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Solution

The fourth proportional to 10,315.31, 15,472.79 and 3,295.27 is: 4,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.31 : 15,472.79 = 3,295.27 : x
  2. Step 2: Convert to fraction form
    10,315.31/15,472.79 = 3,295.27/x
  3. Step 3: Cross multiply
    10,315.31x = 15,472.79 × 3,295.27
  4. Step 4: Simplify right side
    10,315.31x = 50,987,035.93
  5. Step 5: Solve for x
    x = 50,987,035.93/10,315.31
  6. Step 6: Final answer
    x = 4,942.85

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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.