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Finding the Fourth Proportional to 7,771.37, 10,724.47 and 4,234.57

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Solution

The fourth proportional to 7,771.37, 10,724.47 and 4,234.57 is: 5,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.37 : 10,724.47 = 4,234.57 : x
  2. Step 2: Convert to fraction form
    7,771.37/10,724.47 = 4,234.57/x
  3. Step 3: Cross multiply
    7,771.37x = 10,724.47 × 4,234.57
  4. Step 4: Simplify right side
    7,771.37x = 45,413,481.53
  5. Step 5: Solve for x
    x = 45,413,481.53/7,771.37
  6. Step 6: Final answer
    x = 5,843.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.