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Finding the Fourth Proportional to 12,082.91, 16,674.44 and 6,777.72

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Solution

The fourth proportional to 12,082.91, 16,674.44 and 6,777.72 is: 9,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.91 : 16,674.44 = 6,777.72 : x
  2. Step 2: Convert to fraction form
    12,082.91/16,674.44 = 6,777.72/x
  3. Step 3: Cross multiply
    12,082.91x = 16,674.44 × 6,777.72
  4. Step 4: Simplify right side
    12,082.91x = 113,014,651.59
  5. Step 5: Solve for x
    x = 113,014,651.59/12,082.91
  6. Step 6: Final answer
    x = 9,353.27

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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.