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Finding the Fourth Proportional to 11,463.37, 17,171.60 and 6,769.22

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Solution

The fourth proportional to 11,463.37, 17,171.60 and 6,769.22 is: 10,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.37 : 17,171.60 = 6,769.22 : x
  2. Step 2: Convert to fraction form
    11,463.37/17,171.60 = 6,769.22/x
  3. Step 3: Cross multiply
    11,463.37x = 17,171.60 × 6,769.22
  4. Step 4: Simplify right side
    11,463.37x = 116,238,315.04
  5. Step 5: Solve for x
    x = 116,238,315.04/11,463.37
  6. Step 6: Final answer
    x = 10,139.97

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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.