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Finding the Fourth Proportional to 7,912.56, 11,874.67 and 3,752.58

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Solution

The fourth proportional to 7,912.56, 11,874.67 and 3,752.58 is: 5,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.56 : 11,874.67 = 3,752.58 : x
  2. Step 2: Convert to fraction form
    7,912.56/11,874.67 = 3,752.58/x
  3. Step 3: Cross multiply
    7,912.56x = 11,874.67 × 3,752.58
  4. Step 4: Simplify right side
    7,912.56x = 44,560,672.01
  5. Step 5: Solve for x
    x = 44,560,672.01/7,912.56
  6. Step 6: Final answer
    x = 5,631.64

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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.