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Finding the Fourth Proportional to 7,771.23, 10,724.00 and 4,234.41

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Solution

The fourth proportional to 7,771.23, 10,724.00 and 4,234.41 is: 5,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.23 : 10,724.00 = 4,234.41 : x
  2. Step 2: Convert to fraction form
    7,771.23/10,724.00 = 4,234.41/x
  3. Step 3: Cross multiply
    7,771.23x = 10,724.00 × 4,234.41
  4. Step 4: Simplify right side
    7,771.23x = 45,409,791.67
  5. Step 5: Solve for x
    x = 45,409,791.67/7,771.23
  6. Step 6: Final answer
    x = 5,843.32

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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.