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Finding the Fourth Proportional to 5,214.37, 7,822.07 and 1,516.63

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Solution

The fourth proportional to 5,214.37, 7,822.07 and 1,516.63 is: 2,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.37 : 7,822.07 = 1,516.63 : x
  2. Step 2: Convert to fraction form
    5,214.37/7,822.07 = 1,516.63/x
  3. Step 3: Cross multiply
    5,214.37x = 7,822.07 × 1,516.63
  4. Step 4: Simplify right side
    5,214.37x = 11,863,158.89
  5. Step 5: Solve for x
    x = 11,863,158.89/5,214.37
  6. Step 6: Final answer
    x = 2,275.09

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