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Finding the Fourth Proportional to 7,823.26, 11,736.66 and 2,629

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Solution

The fourth proportional to 7,823.26, 11,736.66 and 2,629 is: 3,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.26 : 11,736.66 = 2,629 : x
  2. Step 2: Convert to fraction form
    7,823.26/11,736.66 = 2,629/x
  3. Step 3: Cross multiply
    7,823.26x = 11,736.66 × 2,629
  4. Step 4: Simplify right side
    7,823.26x = 30,855,679.14
  5. Step 5: Solve for x
    x = 30,855,679.14/7,823.26
  6. Step 6: Final answer
    x = 3,944.09

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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.