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Finding the Fourth Proportional to 7,770.64, 10,723.49 and 4,233.85

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Solution

The fourth proportional to 7,770.64, 10,723.49 and 4,233.85 is: 5,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.64 : 10,723.49 = 4,233.85 : x
  2. Step 2: Convert to fraction form
    7,770.64/10,723.49 = 4,233.85/x
  3. Step 3: Cross multiply
    7,770.64x = 10,723.49 × 4,233.85
  4. Step 4: Simplify right side
    7,770.64x = 45,401,648.14
  5. Step 5: Solve for x
    x = 45,401,648.14/7,770.64
  6. Step 6: Final answer
    x = 5,842.72

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