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Finding the Fourth Proportional to 6,676.74, 10,024.34 and 3,392.15

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Solution

The fourth proportional to 6,676.74, 10,024.34 and 3,392.15 is: 5,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.74 : 10,024.34 = 3,392.15 : x
  2. Step 2: Convert to fraction form
    6,676.74/10,024.34 = 3,392.15/x
  3. Step 3: Cross multiply
    6,676.74x = 10,024.34 × 3,392.15
  4. Step 4: Simplify right side
    6,676.74x = 34,003,997.85
  5. Step 5: Solve for x
    x = 34,003,997.85/6,676.74
  6. Step 6: Final answer
    x = 5,092.90

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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.