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Finding the Fourth Proportional to 11,683.01, 16,122.44 and 7,204.97

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Solution

The fourth proportional to 11,683.01, 16,122.44 and 7,204.97 is: 9,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.01 : 16,122.44 = 7,204.97 : x
  2. Step 2: Convert to fraction form
    11,683.01/16,122.44 = 7,204.97/x
  3. Step 3: Cross multiply
    11,683.01x = 16,122.44 × 7,204.97
  4. Step 4: Simplify right side
    11,683.01x = 116,161,579.89
  5. Step 5: Solve for x
    x = 116,161,579.89/11,683.01
  6. Step 6: Final answer
    x = 9,942.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.