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Finding the Fourth Proportional to 27,522.39, 41,283.57 and 6,745.89

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Solution

The fourth proportional to 27,522.39, 41,283.57 and 6,745.89 is: 10,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.39 : 41,283.57 = 6,745.89 : x
  2. Step 2: Convert to fraction form
    27,522.39/41,283.57 = 6,745.89/x
  3. Step 3: Cross multiply
    27,522.39x = 41,283.57 × 6,745.89
  4. Step 4: Simplify right side
    27,522.39x = 278,494,422.03
  5. Step 5: Solve for x
    x = 278,494,422.03/27,522.39
  6. Step 6: Final answer
    x = 10,118.83

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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.