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Finding the Fourth Proportional to 6,898.36, 10,344.04 and 3,388.64

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Solution

The fourth proportional to 6,898.36, 10,344.04 and 3,388.64 is: 5,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.36 : 10,344.04 = 3,388.64 : x
  2. Step 2: Convert to fraction form
    6,898.36/10,344.04 = 3,388.64/x
  3. Step 3: Cross multiply
    6,898.36x = 10,344.04 × 3,388.64
  4. Step 4: Simplify right side
    6,898.36x = 35,052,227.71
  5. Step 5: Solve for x
    x = 35,052,227.71/6,898.36
  6. Step 6: Final answer
    x = 5,081.24

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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.