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Finding the Fourth Proportional to 7,771.45, 10,724.60 and 4,234.66

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Solution

The fourth proportional to 7,771.45, 10,724.60 and 4,234.66 is: 5,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.45 : 10,724.60 = 4,234.66 : x
  2. Step 2: Convert to fraction form
    7,771.45/10,724.60 = 4,234.66/x
  3. Step 3: Cross multiply
    7,771.45x = 10,724.60 × 4,234.66
  4. Step 4: Simplify right side
    7,771.45x = 45,415,034.64
  5. Step 5: Solve for x
    x = 45,415,034.64/7,771.45
  6. Step 6: Final answer
    x = 5,843.83

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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.