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Finding the Fourth Proportional to 7,797.42, 11,694.36 and 2,249.52

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Solution

The fourth proportional to 7,797.42, 11,694.36 and 2,249.52 is: 3,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.42 : 11,694.36 = 2,249.52 : x
  2. Step 2: Convert to fraction form
    7,797.42/11,694.36 = 2,249.52/x
  3. Step 3: Cross multiply
    7,797.42x = 11,694.36 × 2,249.52
  4. Step 4: Simplify right side
    7,797.42x = 26,306,696.71
  5. Step 5: Solve for x
    x = 26,306,696.71/7,797.42
  6. Step 6: Final answer
    x = 3,373.77

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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.