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Finding the Fourth Proportional to 7,661.46, 11,493 and 2,731.56

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Solution

The fourth proportional to 7,661.46, 11,493 and 2,731.56 is: 4,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.46 : 11,493 = 2,731.56 : x
  2. Step 2: Convert to fraction form
    7,661.46/11,493 = 2,731.56/x
  3. Step 3: Cross multiply
    7,661.46x = 11,493 × 2,731.56
  4. Step 4: Simplify right side
    7,661.46x = 31,393,819.08
  5. Step 5: Solve for x
    x = 31,393,819.08/7,661.46
  6. Step 6: Final answer
    x = 4,097.63

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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.