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Finding the Fourth Proportional to 7,850.64, 11,773.44 and 4,150.80

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Solution

The fourth proportional to 7,850.64, 11,773.44 and 4,150.80 is: 6,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.64 : 11,773.44 = 4,150.80 : x
  2. Step 2: Convert to fraction form
    7,850.64/11,773.44 = 4,150.80/x
  3. Step 3: Cross multiply
    7,850.64x = 11,773.44 × 4,150.80
  4. Step 4: Simplify right side
    7,850.64x = 48,869,194.75
  5. Step 5: Solve for x
    x = 48,869,194.75/7,850.64
  6. Step 6: Final answer
    x = 6,224.87

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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.