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Finding the Fourth Proportional to 6,782.92, 10,191.66 and 6,333.64

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Solution

The fourth proportional to 6,782.92, 10,191.66 and 6,333.64 is: 9,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.92 : 10,191.66 = 6,333.64 : x
  2. Step 2: Convert to fraction form
    6,782.92/10,191.66 = 6,333.64/x
  3. Step 3: Cross multiply
    6,782.92x = 10,191.66 × 6,333.64
  4. Step 4: Simplify right side
    6,782.92x = 64,550,305.44
  5. Step 5: Solve for x
    x = 64,550,305.44/6,782.92
  6. Step 6: Final answer
    x = 9,516.60

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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.