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Finding the Fourth Proportional to 7,852.56, 11,764.99 and 4,146.63

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Solution

The fourth proportional to 7,852.56, 11,764.99 and 4,146.63 is: 6,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.56 : 11,764.99 = 4,146.63 : x
  2. Step 2: Convert to fraction form
    7,852.56/11,764.99 = 4,146.63/x
  3. Step 3: Cross multiply
    7,852.56x = 11,764.99 × 4,146.63
  4. Step 4: Simplify right side
    7,852.56x = 48,785,021.55
  5. Step 5: Solve for x
    x = 48,785,021.55/7,852.56
  6. Step 6: Final answer
    x = 6,212.63

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