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Finding the Fourth Proportional to 7,231.20, 10,846.80 and 5,773.20

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Solution

The fourth proportional to 7,231.20, 10,846.80 and 5,773.20 is: 8,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.20 : 10,846.80 = 5,773.20 : x
  2. Step 2: Convert to fraction form
    7,231.20/10,846.80 = 5,773.20/x
  3. Step 3: Cross multiply
    7,231.20x = 10,846.80 × 5,773.20
  4. Step 4: Simplify right side
    7,231.20x = 62,620,745.76
  5. Step 5: Solve for x
    x = 62,620,745.76/7,231.20
  6. Step 6: Final answer
    x = 8,659.80

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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.