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Finding the Fourth Proportional to 11,648.22, 16,072.40 and 6,869.66

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Solution

The fourth proportional to 11,648.22, 16,072.40 and 6,869.66 is: 9,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.22 : 16,072.40 = 6,869.66 : x
  2. Step 2: Convert to fraction form
    11,648.22/16,072.40 = 6,869.66/x
  3. Step 3: Cross multiply
    11,648.22x = 16,072.40 × 6,869.66
  4. Step 4: Simplify right side
    11,648.22x = 110,411,843.02
  5. Step 5: Solve for x
    x = 110,411,843.02/11,648.22
  6. Step 6: Final answer
    x = 9,478.86

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