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Finding the Fourth Proportional to 6,805.20, 10,198.08 and 5,072.88

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Solution

The fourth proportional to 6,805.20, 10,198.08 and 5,072.88 is: 7,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.20 : 10,198.08 = 5,072.88 : x
  2. Step 2: Convert to fraction form
    6,805.20/10,198.08 = 5,072.88/x
  3. Step 3: Cross multiply
    6,805.20x = 10,198.08 × 5,072.88
  4. Step 4: Simplify right side
    6,805.20x = 51,733,636.07
  5. Step 5: Solve for x
    x = 51,733,636.07/6,805.20
  6. Step 6: Final answer
    x = 7,602.07

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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.