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Finding the Fourth Proportional to 8,769.24, 13,141.44 and 7,727.04

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Solution

The fourth proportional to 8,769.24, 13,141.44 and 7,727.04 is: 11,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.24 : 13,141.44 = 7,727.04 : x
  2. Step 2: Convert to fraction form
    8,769.24/13,141.44 = 7,727.04/x
  3. Step 3: Cross multiply
    8,769.24x = 13,141.44 × 7,727.04
  4. Step 4: Simplify right side
    8,769.24x = 101,544,432.54
  5. Step 5: Solve for x
    x = 101,544,432.54/8,769.24
  6. Step 6: Final answer
    x = 11,579.62

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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.