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Finding the Fourth Proportional to 7,234.75, 10,847.26 and 5,825.35

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Solution

The fourth proportional to 7,234.75, 10,847.26 and 5,825.35 is: 8,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.75 : 10,847.26 = 5,825.35 : x
  2. Step 2: Convert to fraction form
    7,234.75/10,847.26 = 5,825.35/x
  3. Step 3: Cross multiply
    7,234.75x = 10,847.26 × 5,825.35
  4. Step 4: Simplify right side
    7,234.75x = 63,189,086.04
  5. Step 5: Solve for x
    x = 63,189,086.04/7,234.75
  6. Step 6: Final answer
    x = 8,734.11

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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.