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Finding the Fourth Proportional to 7,742.92, 10,682.94 and 4,599.40

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Solution

The fourth proportional to 7,742.92, 10,682.94 and 4,599.40 is: 6,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.92 : 10,682.94 = 4,599.40 : x
  2. Step 2: Convert to fraction form
    7,742.92/10,682.94 = 4,599.40/x
  3. Step 3: Cross multiply
    7,742.92x = 10,682.94 × 4,599.40
  4. Step 4: Simplify right side
    7,742.92x = 49,135,114.24
  5. Step 5: Solve for x
    x = 49,135,114.24/7,742.92
  6. Step 6: Final answer
    x = 6,345.81

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