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Finding the Fourth Proportional to 10,956.91, 15,127.46 and 8,434.27

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Solution

The fourth proportional to 10,956.91, 15,127.46 and 8,434.27 is: 11,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.91 : 15,127.46 = 8,434.27 : x
  2. Step 2: Convert to fraction form
    10,956.91/15,127.46 = 8,434.27/x
  3. Step 3: Cross multiply
    10,956.91x = 15,127.46 × 8,434.27
  4. Step 4: Simplify right side
    10,956.91x = 127,589,082.05
  5. Step 5: Solve for x
    x = 127,589,082.05/10,956.91
  6. Step 6: Final answer
    x = 11,644.62

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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.