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Finding the Fourth Proportional to 7,770.75, 10,723.64 and 4,233.96

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Solution

The fourth proportional to 7,770.75, 10,723.64 and 4,233.96 is: 5,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.75 : 10,723.64 = 4,233.96 : x
  2. Step 2: Convert to fraction form
    7,770.75/10,723.64 = 4,233.96/x
  3. Step 3: Cross multiply
    7,770.75x = 10,723.64 × 4,233.96
  4. Step 4: Simplify right side
    7,770.75x = 45,403,441.64
  5. Step 5: Solve for x
    x = 45,403,441.64/7,770.75
  6. Step 6: Final answer
    x = 5,842.86

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