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Finding the Fourth Proportional to 7,778.94, 11,666.24 and 2,584.86

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Solution

The fourth proportional to 7,778.94, 11,666.24 and 2,584.86 is: 3,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.94 : 11,666.24 = 2,584.86 : x
  2. Step 2: Convert to fraction form
    7,778.94/11,666.24 = 2,584.86/x
  3. Step 3: Cross multiply
    7,778.94x = 11,666.24 × 2,584.86
  4. Step 4: Simplify right side
    7,778.94x = 30,155,597.13
  5. Step 5: Solve for x
    x = 30,155,597.13/7,778.94
  6. Step 6: Final answer
    x = 3,876.57

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