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Finding the Fourth Proportional to 6,676.94, 10,023.90 and 5,446.76

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Solution

The fourth proportional to 6,676.94, 10,023.90 and 5,446.76 is: 8,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.94 : 10,023.90 = 5,446.76 : x
  2. Step 2: Convert to fraction form
    6,676.94/10,023.90 = 5,446.76/x
  3. Step 3: Cross multiply
    6,676.94x = 10,023.90 × 5,446.76
  4. Step 4: Simplify right side
    6,676.94x = 54,597,777.56
  5. Step 5: Solve for x
    x = 54,597,777.56/6,676.94
  6. Step 6: Final answer
    x = 8,177.07

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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.