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Finding the Fourth Proportional to 7,231.78, 10,847.70 and 2,851.30

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Solution

The fourth proportional to 7,231.78, 10,847.70 and 2,851.30 is: 4,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.78 : 10,847.70 = 2,851.30 : x
  2. Step 2: Convert to fraction form
    7,231.78/10,847.70 = 2,851.30/x
  3. Step 3: Cross multiply
    7,231.78x = 10,847.70 × 2,851.30
  4. Step 4: Simplify right side
    7,231.78x = 30,930,047.01
  5. Step 5: Solve for x
    x = 30,930,047.01/7,231.78
  6. Step 6: Final answer
    x = 4,276.96

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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.