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Finding the Fourth Proportional to 7,912.54, 11,872.28 and 3,752.56

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Solution

The fourth proportional to 7,912.54, 11,872.28 and 3,752.56 is: 5,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.54 : 11,872.28 = 3,752.56 : x
  2. Step 2: Convert to fraction form
    7,912.54/11,872.28 = 3,752.56/x
  3. Step 3: Cross multiply
    7,912.54x = 11,872.28 × 3,752.56
  4. Step 4: Simplify right side
    7,912.54x = 44,551,443.04
  5. Step 5: Solve for x
    x = 44,551,443.04/7,912.54
  6. Step 6: Final answer
    x = 5,630.49

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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.