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Finding the Fourth Proportional to 7,773.87, 11,650.62 and 3,091.41

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Solution

The fourth proportional to 7,773.87, 11,650.62 and 3,091.41 is: 4,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.87 : 11,650.62 = 3,091.41 : x
  2. Step 2: Convert to fraction form
    7,773.87/11,650.62 = 3,091.41/x
  3. Step 3: Cross multiply
    7,773.87x = 11,650.62 × 3,091.41
  4. Step 4: Simplify right side
    7,773.87x = 36,016,843.17
  5. Step 5: Solve for x
    x = 36,016,843.17/7,773.87
  6. Step 6: Final answer
    x = 4,633.06

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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.