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Finding the Fourth Proportional to 10,996.24, 16,502.48 and 8,082.40

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Solution

The fourth proportional to 10,996.24, 16,502.48 and 8,082.40 is: 12,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.24 : 16,502.48 = 8,082.40 : x
  2. Step 2: Convert to fraction form
    10,996.24/16,502.48 = 8,082.40/x
  3. Step 3: Cross multiply
    10,996.24x = 16,502.48 × 8,082.40
  4. Step 4: Simplify right side
    10,996.24x = 133,379,644.35
  5. Step 5: Solve for x
    x = 133,379,644.35/10,996.24
  6. Step 6: Final answer
    x = 12,129.57

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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.