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Finding the Fourth Proportional to 6,684.73, 10,026.97 and 2,302.09

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Solution

The fourth proportional to 6,684.73, 10,026.97 and 2,302.09 is: 3,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.73 : 10,026.97 = 2,302.09 : x
  2. Step 2: Convert to fraction form
    6,684.73/10,026.97 = 2,302.09/x
  3. Step 3: Cross multiply
    6,684.73x = 10,026.97 × 2,302.09
  4. Step 4: Simplify right side
    6,684.73x = 23,082,987.37
  5. Step 5: Solve for x
    x = 23,082,987.37/6,684.73
  6. Step 6: Final answer
    x = 3,453.09

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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.