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Finding the Fourth Proportional to 7,785.66, 11,676.01 and 2,519.56

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Solution

The fourth proportional to 7,785.66, 11,676.01 and 2,519.56 is: 3,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.66 : 11,676.01 = 2,519.56 : x
  2. Step 2: Convert to fraction form
    7,785.66/11,676.01 = 2,519.56/x
  3. Step 3: Cross multiply
    7,785.66x = 11,676.01 × 2,519.56
  4. Step 4: Simplify right side
    7,785.66x = 29,418,407.76
  5. Step 5: Solve for x
    x = 29,418,407.76/7,785.66
  6. Step 6: Final answer
    x = 3,778.54

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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.