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Finding the Fourth Proportional to 5,256.31, 7,873.68 and 4,210.64

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Solution

The fourth proportional to 5,256.31, 7,873.68 and 4,210.64 is: 6,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.31 : 7,873.68 = 4,210.64 : x
  2. Step 2: Convert to fraction form
    5,256.31/7,873.68 = 4,210.64/x
  3. Step 3: Cross multiply
    5,256.31x = 7,873.68 × 4,210.64
  4. Step 4: Simplify right side
    5,256.31x = 33,153,231.96
  5. Step 5: Solve for x
    x = 33,153,231.96/5,256.31
  6. Step 6: Final answer
    x = 6,307.33

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