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Finding the Fourth Proportional to 6,796.36, 10,175.10 and 4,601.80

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Solution

The fourth proportional to 6,796.36, 10,175.10 and 4,601.80 is: 6,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.36 : 10,175.10 = 4,601.80 : x
  2. Step 2: Convert to fraction form
    6,796.36/10,175.10 = 4,601.80/x
  3. Step 3: Cross multiply
    6,796.36x = 10,175.10 × 4,601.80
  4. Step 4: Simplify right side
    6,796.36x = 46,823,775.18
  5. Step 5: Solve for x
    x = 46,823,775.18/6,796.36
  6. Step 6: Final answer
    x = 6,889.54

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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.