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Finding the Fourth Proportional to 8,078.31, 11,146.86 and 4,540.85

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Solution

The fourth proportional to 8,078.31, 11,146.86 and 4,540.85 is: 6,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.31 : 11,146.86 = 4,540.85 : x
  2. Step 2: Convert to fraction form
    8,078.31/11,146.86 = 4,540.85/x
  3. Step 3: Cross multiply
    8,078.31x = 11,146.86 × 4,540.85
  4. Step 4: Simplify right side
    8,078.31x = 50,616,163.50
  5. Step 5: Solve for x
    x = 50,616,163.50/8,078.31
  6. Step 6: Final answer
    x = 6,265.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.