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Finding the Fourth Proportional to 7,742.62, 10,684.86 and 4,205.86

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Solution

The fourth proportional to 7,742.62, 10,684.86 and 4,205.86 is: 5,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.62 : 10,684.86 = 4,205.86 : x
  2. Step 2: Convert to fraction form
    7,742.62/10,684.86 = 4,205.86/x
  3. Step 3: Cross multiply
    7,742.62x = 10,684.86 × 4,205.86
  4. Step 4: Simplify right side
    7,742.62x = 44,939,025.28
  5. Step 5: Solve for x
    x = 44,939,025.28/7,742.62
  6. Step 6: Final answer
    x = 5,804.11

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