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Finding the Fourth Proportional to 7,849.96, 11,777.00 and 2,585.77

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Solution

The fourth proportional to 7,849.96, 11,777.00 and 2,585.77 is: 3,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.96 : 11,777.00 = 2,585.77 : x
  2. Step 2: Convert to fraction form
    7,849.96/11,777.00 = 2,585.77/x
  3. Step 3: Cross multiply
    7,849.96x = 11,777.00 × 2,585.77
  4. Step 4: Simplify right side
    7,849.96x = 30,452,637.16
  5. Step 5: Solve for x
    x = 30,452,637.16/7,849.96
  6. Step 6: Final answer
    x = 3,879.34

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