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Finding the Fourth Proportional to 6,767.20, 9,302.84 and 5,819.52

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Solution

The fourth proportional to 6,767.20, 9,302.84 and 5,819.52 is: 8,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.20 : 9,302.84 = 5,819.52 : x
  2. Step 2: Convert to fraction form
    6,767.20/9,302.84 = 5,819.52/x
  3. Step 3: Cross multiply
    6,767.20x = 9,302.84 × 5,819.52
  4. Step 4: Simplify right side
    6,767.20x = 54,138,063.44
  5. Step 5: Solve for x
    x = 54,138,063.44/6,767.20
  6. Step 6: Final answer
    x = 8,000.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.