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Finding the Fourth Proportional to 7,843.50, 11,766.96 and 3,226.50

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Solution

The fourth proportional to 7,843.50, 11,766.96 and 3,226.50 is: 4,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.50 : 11,766.96 = 3,226.50 : x
  2. Step 2: Convert to fraction form
    7,843.50/11,766.96 = 3,226.50/x
  3. Step 3: Cross multiply
    7,843.50x = 11,766.96 × 3,226.50
  4. Step 4: Simplify right side
    7,843.50x = 37,966,096.44
  5. Step 5: Solve for x
    x = 37,966,096.44/7,843.50
  6. Step 6: Final answer
    x = 4,840.45

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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.