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Finding the Fourth Proportional to 12,082.42, 16,674.22 and 6,777.60

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Solution

The fourth proportional to 12,082.42, 16,674.22 and 6,777.60 is: 9,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.42 : 16,674.22 = 6,777.60 : x
  2. Step 2: Convert to fraction form
    12,082.42/16,674.22 = 6,777.60/x
  3. Step 3: Cross multiply
    12,082.42x = 16,674.22 × 6,777.60
  4. Step 4: Simplify right side
    12,082.42x = 113,011,193.47
  5. Step 5: Solve for x
    x = 113,011,193.47/12,082.42
  6. Step 6: Final answer
    x = 9,353.36

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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.