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Finding the Fourth Proportional to 12,082.66, 16,672.44 and 6,777.16

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Solution

The fourth proportional to 12,082.66, 16,672.44 and 6,777.16 is: 9,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.66 : 16,672.44 = 6,777.16 : x
  2. Step 2: Convert to fraction form
    12,082.66/16,672.44 = 6,777.16/x
  3. Step 3: Cross multiply
    12,082.66x = 16,672.44 × 6,777.16
  4. Step 4: Simplify right side
    12,082.66x = 112,991,793.47
  5. Step 5: Solve for x
    x = 112,991,793.47/12,082.66
  6. Step 6: Final answer
    x = 9,351.57

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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.