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Finding the Fourth Proportional to 6,896.56, 10,349.97 and 3,388.45

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Solution

The fourth proportional to 6,896.56, 10,349.97 and 3,388.45 is: 5,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.56 : 10,349.97 = 3,388.45 : x
  2. Step 2: Convert to fraction form
    6,896.56/10,349.97 = 3,388.45/x
  3. Step 3: Cross multiply
    6,896.56x = 10,349.97 × 3,388.45
  4. Step 4: Simplify right side
    6,896.56x = 35,070,287.15
  5. Step 5: Solve for x
    x = 35,070,287.15/6,896.56
  6. Step 6: Final answer
    x = 5,085.19

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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.