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Finding the Fourth Proportional to 7,758.12, 11,634.12 and 3,372.57

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Solution

The fourth proportional to 7,758.12, 11,634.12 and 3,372.57 is: 5,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.12 : 11,634.12 = 3,372.57 : x
  2. Step 2: Convert to fraction form
    7,758.12/11,634.12 = 3,372.57/x
  3. Step 3: Cross multiply
    7,758.12x = 11,634.12 × 3,372.57
  4. Step 4: Simplify right side
    7,758.12x = 39,236,884.09
  5. Step 5: Solve for x
    x = 39,236,884.09/7,758.12
  6. Step 6: Final answer
    x = 5,057.52

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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.