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Finding the Fourth Proportional to 8,538.24, 12,805.20 and 3,855.60

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Solution

The fourth proportional to 8,538.24, 12,805.20 and 3,855.60 is: 5,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.24 : 12,805.20 = 3,855.60 : x
  2. Step 2: Convert to fraction form
    8,538.24/12,805.20 = 3,855.60/x
  3. Step 3: Cross multiply
    8,538.24x = 12,805.20 × 3,855.60
  4. Step 4: Simplify right side
    8,538.24x = 49,371,729.12
  5. Step 5: Solve for x
    x = 49,371,729.12/8,538.24
  6. Step 6: Final answer
    x = 5,782.42

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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.