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Finding the Fourth Proportional to 6,764.10, 10,146.96 and 2,868

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Solution

The fourth proportional to 6,764.10, 10,146.96 and 2,868 is: 4,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.10 : 10,146.96 = 2,868 : x
  2. Step 2: Convert to fraction form
    6,764.10/10,146.96 = 2,868/x
  3. Step 3: Cross multiply
    6,764.10x = 10,146.96 × 2,868
  4. Step 4: Simplify right side
    6,764.10x = 29,101,481.28
  5. Step 5: Solve for x
    x = 29,101,481.28/6,764.10
  6. Step 6: Final answer
    x = 4,302.34

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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.