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Finding the Fourth Proportional to 6,512.72, 9,790.68 and 5,351.33

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Solution

The fourth proportional to 6,512.72, 9,790.68 and 5,351.33 is: 8,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.72 : 9,790.68 = 5,351.33 : x
  2. Step 2: Convert to fraction form
    6,512.72/9,790.68 = 5,351.33/x
  3. Step 3: Cross multiply
    6,512.72x = 9,790.68 × 5,351.33
  4. Step 4: Simplify right side
    6,512.72x = 52,393,110.65
  5. Step 5: Solve for x
    x = 52,393,110.65/6,512.72
  6. Step 6: Final answer
    x = 8,044.74

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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.