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Finding the Fourth Proportional to 7,785.78, 11,676.10 and 2,519.56

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Solution

The fourth proportional to 7,785.78, 11,676.10 and 2,519.56 is: 3,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.78 : 11,676.10 = 2,519.56 : x
  2. Step 2: Convert to fraction form
    7,785.78/11,676.10 = 2,519.56/x
  3. Step 3: Cross multiply
    7,785.78x = 11,676.10 × 2,519.56
  4. Step 4: Simplify right side
    7,785.78x = 29,418,634.52
  5. Step 5: Solve for x
    x = 29,418,634.52/7,785.78
  6. Step 6: Final answer
    x = 3,778.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.