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Finding the Fourth Proportional to 7,728.48, 11,566.80 and 6,341.76

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Solution

The fourth proportional to 7,728.48, 11,566.80 and 6,341.76 is: 9,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.48 : 11,566.80 = 6,341.76 : x
  2. Step 2: Convert to fraction form
    7,728.48/11,566.80 = 6,341.76/x
  3. Step 3: Cross multiply
    7,728.48x = 11,566.80 × 6,341.76
  4. Step 4: Simplify right side
    7,728.48x = 73,353,869.57
  5. Step 5: Solve for x
    x = 73,353,869.57/7,728.48
  6. Step 6: Final answer
    x = 9,491.37

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