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Finding the Fourth Proportional to 27,635.34, 41,453.29 and 6,858.84

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Solution

The fourth proportional to 27,635.34, 41,453.29 and 6,858.84 is: 10,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.34 : 41,453.29 = 6,858.84 : x
  2. Step 2: Convert to fraction form
    27,635.34/41,453.29 = 6,858.84/x
  3. Step 3: Cross multiply
    27,635.34x = 41,453.29 × 6,858.84
  4. Step 4: Simplify right side
    27,635.34x = 284,321,609.03
  5. Step 5: Solve for x
    x = 284,321,609.03/27,635.34
  6. Step 6: Final answer
    x = 10,288.33

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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.