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Finding the Fourth Proportional to 5,109.76, 7,664.42 and 1,778.77

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Solution

The fourth proportional to 5,109.76, 7,664.42 and 1,778.77 is: 2,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.76 : 7,664.42 = 1,778.77 : x
  2. Step 2: Convert to fraction form
    5,109.76/7,664.42 = 1,778.77/x
  3. Step 3: Cross multiply
    5,109.76x = 7,664.42 × 1,778.77
  4. Step 4: Simplify right side
    5,109.76x = 13,633,240.36
  5. Step 5: Solve for x
    x = 13,633,240.36/5,109.76
  6. Step 6: Final answer
    x = 2,668.08

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