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Finding the Fourth Proportional to 6,805.68, 10,199.02 and 3,678.96

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Solution

The fourth proportional to 6,805.68, 10,199.02 and 3,678.96 is: 5,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.68 : 10,199.02 = 3,678.96 : x
  2. Step 2: Convert to fraction form
    6,805.68/10,199.02 = 3,678.96/x
  3. Step 3: Cross multiply
    6,805.68x = 10,199.02 × 3,678.96
  4. Step 4: Simplify right side
    6,805.68x = 37,521,786.62
  5. Step 5: Solve for x
    x = 37,521,786.62/6,805.68
  6. Step 6: Final answer
    x = 5,513.30

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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.