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Finding the Fourth Proportional to 6,855.46, 10,272.42 and 5,299.28

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Solution

The fourth proportional to 6,855.46, 10,272.42 and 5,299.28 is: 7,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.46 : 10,272.42 = 5,299.28 : x
  2. Step 2: Convert to fraction form
    6,855.46/10,272.42 = 5,299.28/x
  3. Step 3: Cross multiply
    6,855.46x = 10,272.42 × 5,299.28
  4. Step 4: Simplify right side
    6,855.46x = 54,436,352.00
  5. Step 5: Solve for x
    x = 54,436,352.00/6,855.46
  6. Step 6: Final answer
    x = 7,940.58

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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.