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Finding the Fourth Proportional to 7,770.62, 10,723.43 and 4,233.83

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Solution

The fourth proportional to 7,770.62, 10,723.43 and 4,233.83 is: 5,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.62 : 10,723.43 = 4,233.83 : x
  2. Step 2: Convert to fraction form
    7,770.62/10,723.43 = 4,233.83/x
  3. Step 3: Cross multiply
    7,770.62x = 10,723.43 × 4,233.83
  4. Step 4: Simplify right side
    7,770.62x = 45,401,104.85
  5. Step 5: Solve for x
    x = 45,401,104.85/7,770.62
  6. Step 6: Final answer
    x = 5,842.67

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