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Finding the Fourth Proportional to 7,211.60, 10,793.40 and 5,231.60

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Solution

The fourth proportional to 7,211.60, 10,793.40 and 5,231.60 is: 7,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.60 : 10,793.40 = 5,231.60 : x
  2. Step 2: Convert to fraction form
    7,211.60/10,793.40 = 5,231.60/x
  3. Step 3: Cross multiply
    7,211.60x = 10,793.40 × 5,231.60
  4. Step 4: Simplify right side
    7,211.60x = 56,466,751.44
  5. Step 5: Solve for x
    x = 56,466,751.44/7,211.60
  6. Step 6: Final answer
    x = 7,829.99

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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.