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Finding the Fourth Proportional to 11,606.50, 16,016.97 and 6,301.36

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Solution

The fourth proportional to 11,606.50, 16,016.97 and 6,301.36 is: 8,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.50 : 16,016.97 = 6,301.36 : x
  2. Step 2: Convert to fraction form
    11,606.50/16,016.97 = 6,301.36/x
  3. Step 3: Cross multiply
    11,606.50x = 16,016.97 × 6,301.36
  4. Step 4: Simplify right side
    11,606.50x = 100,928,694.08
  5. Step 5: Solve for x
    x = 100,928,694.08/11,606.50
  6. Step 6: Final answer
    x = 8,695.88

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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.