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Finding the Fourth Proportional to 12,082.37, 16,665.26 and 8,504.78

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Solution

The fourth proportional to 12,082.37, 16,665.26 and 8,504.78 is: 11,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.37 : 16,665.26 = 8,504.78 : x
  2. Step 2: Convert to fraction form
    12,082.37/16,665.26 = 8,504.78/x
  3. Step 3: Cross multiply
    12,082.37x = 16,665.26 × 8,504.78
  4. Step 4: Simplify right side
    12,082.37x = 141,734,244.09
  5. Step 5: Solve for x
    x = 141,734,244.09/12,082.37
  6. Step 6: Final answer
    x = 11,730.67

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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.