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Finding the Fourth Proportional to 10,742.92, 16,089.60 and 7,762.48

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Solution

The fourth proportional to 10,742.92, 16,089.60 and 7,762.48 is: 11,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.92 : 16,089.60 = 7,762.48 : x
  2. Step 2: Convert to fraction form
    10,742.92/16,089.60 = 7,762.48/x
  3. Step 3: Cross multiply
    10,742.92x = 16,089.60 × 7,762.48
  4. Step 4: Simplify right side
    10,742.92x = 124,895,198.21
  5. Step 5: Solve for x
    x = 124,895,198.21/10,742.92
  6. Step 6: Final answer
    x = 11,625.81

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