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Finding the Fourth Proportional to 6,668.44, 10,006.30 and 3,205.69

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Solution

The fourth proportional to 6,668.44, 10,006.30 and 3,205.69 is: 4,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.44 : 10,006.30 = 3,205.69 : x
  2. Step 2: Convert to fraction form
    6,668.44/10,006.30 = 3,205.69/x
  3. Step 3: Cross multiply
    6,668.44x = 10,006.30 × 3,205.69
  4. Step 4: Simplify right side
    6,668.44x = 32,077,074.84
  5. Step 5: Solve for x
    x = 32,077,074.84/6,668.44
  6. Step 6: Final answer
    x = 4,810.28

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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.