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Finding the Fourth Proportional to 11,606.56, 16,016.96 and 6,301.38

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Solution

The fourth proportional to 11,606.56, 16,016.96 and 6,301.38 is: 8,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.56 : 16,016.96 = 6,301.38 : x
  2. Step 2: Convert to fraction form
    11,606.56/16,016.96 = 6,301.38/x
  3. Step 3: Cross multiply
    11,606.56x = 16,016.96 × 6,301.38
  4. Step 4: Simplify right side
    11,606.56x = 100,928,951.40
  5. Step 5: Solve for x
    x = 100,928,951.40/11,606.56
  6. Step 6: Final answer
    x = 8,695.85

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Why These Related Problems?

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