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Finding the Fourth Proportional to 7,564.26, 11,344.34 and 4,786.76

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Solution

The fourth proportional to 7,564.26, 11,344.34 and 4,786.76 is: 7,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.26 : 11,344.34 = 4,786.76 : x
  2. Step 2: Convert to fraction form
    7,564.26/11,344.34 = 4,786.76/x
  3. Step 3: Cross multiply
    7,564.26x = 11,344.34 × 4,786.76
  4. Step 4: Simplify right side
    7,564.26x = 54,302,632.94
  5. Step 5: Solve for x
    x = 54,302,632.94/7,564.26
  6. Step 6: Final answer
    x = 7,178.84

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