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Finding the Fourth Proportional to 7,847.82, 11,773.26 and 2,782.49

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Solution

The fourth proportional to 7,847.82, 11,773.26 and 2,782.49 is: 4,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.82 : 11,773.26 = 2,782.49 : x
  2. Step 2: Convert to fraction form
    7,847.82/11,773.26 = 2,782.49/x
  3. Step 3: Cross multiply
    7,847.82x = 11,773.26 × 2,782.49
  4. Step 4: Simplify right side
    7,847.82x = 32,758,919.35
  5. Step 5: Solve for x
    x = 32,758,919.35/7,847.82
  6. Step 6: Final answer
    x = 4,174.27

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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.