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Finding the Fourth Proportional to 6,813.68, 10,213.63 and 2,651.09

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Solution

The fourth proportional to 6,813.68, 10,213.63 and 2,651.09 is: 3,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.68 : 10,213.63 = 2,651.09 : x
  2. Step 2: Convert to fraction form
    6,813.68/10,213.63 = 2,651.09/x
  3. Step 3: Cross multiply
    6,813.68x = 10,213.63 × 2,651.09
  4. Step 4: Simplify right side
    6,813.68x = 27,077,252.36
  5. Step 5: Solve for x
    x = 27,077,252.36/6,813.68
  6. Step 6: Final answer
    x = 3,973.95

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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.