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Finding the Fourth Proportional to 7,676.27, 11,513.80 and 2,745.39

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Solution

The fourth proportional to 7,676.27, 11,513.80 and 2,745.39 is: 4,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.27 : 11,513.80 = 2,745.39 : x
  2. Step 2: Convert to fraction form
    7,676.27/11,513.80 = 2,745.39/x
  3. Step 3: Cross multiply
    7,676.27x = 11,513.80 × 2,745.39
  4. Step 4: Simplify right side
    7,676.27x = 31,609,902.55
  5. Step 5: Solve for x
    x = 31,609,902.55/7,676.27
  6. Step 6: Final answer
    x = 4,117.87

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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.