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Finding the Fourth Proportional to 6,843.10, 10,265.25 and 5,016.94

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Solution

The fourth proportional to 6,843.10, 10,265.25 and 5,016.94 is: 7,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.10 : 10,265.25 = 5,016.94 : x
  2. Step 2: Convert to fraction form
    6,843.10/10,265.25 = 5,016.94/x
  3. Step 3: Cross multiply
    6,843.10x = 10,265.25 × 5,016.94
  4. Step 4: Simplify right side
    6,843.10x = 51,500,143.34
  5. Step 5: Solve for x
    x = 51,500,143.34/6,843.10
  6. Step 6: Final answer
    x = 7,525.85

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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.