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Finding the Fourth Proportional to 7,694.58, 11,542.14 and 2,500.50

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Solution

The fourth proportional to 7,694.58, 11,542.14 and 2,500.50 is: 3,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.58 : 11,542.14 = 2,500.50 : x
  2. Step 2: Convert to fraction form
    7,694.58/11,542.14 = 2,500.50/x
  3. Step 3: Cross multiply
    7,694.58x = 11,542.14 × 2,500.50
  4. Step 4: Simplify right side
    7,694.58x = 28,861,121.07
  5. Step 5: Solve for x
    x = 28,861,121.07/7,694.58
  6. Step 6: Final answer
    x = 3,750.84

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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.