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Finding the Fourth Proportional to 6,668.46, 10,022.13 and 3,208.14

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Solution

The fourth proportional to 6,668.46, 10,022.13 and 3,208.14 is: 4,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.46 : 10,022.13 = 3,208.14 : x
  2. Step 2: Convert to fraction form
    6,668.46/10,022.13 = 3,208.14/x
  3. Step 3: Cross multiply
    6,668.46x = 10,022.13 × 3,208.14
  4. Step 4: Simplify right side
    6,668.46x = 32,152,396.14
  5. Step 5: Solve for x
    x = 32,152,396.14/6,668.46
  6. Step 6: Final answer
    x = 4,821.56

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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.