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Finding the Fourth Proportional to 10,315.43, 15,472.38 and 3,295.16

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Solution

The fourth proportional to 10,315.43, 15,472.38 and 3,295.16 is: 4,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.43 : 15,472.38 = 3,295.16 : x
  2. Step 2: Convert to fraction form
    10,315.43/15,472.38 = 3,295.16/x
  3. Step 3: Cross multiply
    10,315.43x = 15,472.38 × 3,295.16
  4. Step 4: Simplify right side
    10,315.43x = 50,983,967.68
  5. Step 5: Solve for x
    x = 50,983,967.68/10,315.43
  6. Step 6: Final answer
    x = 4,942.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.