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Finding the Fourth Proportional to 10,874.36, 16,301.76 and 3,944

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Solution

The fourth proportional to 10,874.36, 16,301.76 and 3,944 is: 5,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.36 : 16,301.76 = 3,944 : x
  2. Step 2: Convert to fraction form
    10,874.36/16,301.76 = 3,944/x
  3. Step 3: Cross multiply
    10,874.36x = 16,301.76 × 3,944
  4. Step 4: Simplify right side
    10,874.36x = 64,294,141.44
  5. Step 5: Solve for x
    x = 64,294,141.44/10,874.36
  6. Step 6: Final answer
    x = 5,912.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.