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Finding the Fourth Proportional to 10,872.54, 16,315.29 and 3,947.58

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Solution

The fourth proportional to 10,872.54, 16,315.29 and 3,947.58 is: 5,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.54 : 16,315.29 = 3,947.58 : x
  2. Step 2: Convert to fraction form
    10,872.54/16,315.29 = 3,947.58/x
  3. Step 3: Cross multiply
    10,872.54x = 16,315.29 × 3,947.58
  4. Step 4: Simplify right side
    10,872.54x = 64,405,912.50
  5. Step 5: Solve for x
    x = 64,405,912.50/10,872.54
  6. Step 6: Final answer
    x = 5,923.72

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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.