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Finding the Fourth Proportional to 6,855.63, 10,283.44 and 2,238.63

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Solution

The fourth proportional to 6,855.63, 10,283.44 and 2,238.63 is: 3,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.63 : 10,283.44 = 2,238.63 : x
  2. Step 2: Convert to fraction form
    6,855.63/10,283.44 = 2,238.63/x
  3. Step 3: Cross multiply
    6,855.63x = 10,283.44 × 2,238.63
  4. Step 4: Simplify right side
    6,855.63x = 23,020,817.29
  5. Step 5: Solve for x
    x = 23,020,817.29/6,855.63
  6. Step 6: Final answer
    x = 3,357.94

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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.