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Finding the Fourth Proportional to 10,676.72, 14,734.24 and 5,961.20

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Solution

The fourth proportional to 10,676.72, 14,734.24 and 5,961.20 is: 8,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.72 : 14,734.24 = 5,961.20 : x
  2. Step 2: Convert to fraction form
    10,676.72/14,734.24 = 5,961.20/x
  3. Step 3: Cross multiply
    10,676.72x = 14,734.24 × 5,961.20
  4. Step 4: Simplify right side
    10,676.72x = 87,833,751.49
  5. Step 5: Solve for x
    x = 87,833,751.49/10,676.72
  6. Step 6: Final answer
    x = 8,226.66

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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.