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Finding the Fourth Proportional to 5,214.51, 7,823.00 and 1,516.83

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Solution

The fourth proportional to 5,214.51, 7,823.00 and 1,516.83 is: 2,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.51 : 7,823.00 = 1,516.83 : x
  2. Step 2: Convert to fraction form
    5,214.51/7,823.00 = 1,516.83/x
  3. Step 3: Cross multiply
    5,214.51x = 7,823.00 × 1,516.83
  4. Step 4: Simplify right side
    5,214.51x = 11,866,153.51
  5. Step 5: Solve for x
    x = 11,866,153.51/5,214.51
  6. Step 6: Final answer
    x = 2,275.60

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