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Finding the Fourth Proportional to 6,989.58, 10,469.25 and 3,286.26

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Solution

The fourth proportional to 6,989.58, 10,469.25 and 3,286.26 is: 4,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.58 : 10,469.25 = 3,286.26 : x
  2. Step 2: Convert to fraction form
    6,989.58/10,469.25 = 3,286.26/x
  3. Step 3: Cross multiply
    6,989.58x = 10,469.25 × 3,286.26
  4. Step 4: Simplify right side
    6,989.58x = 34,404,677.51
  5. Step 5: Solve for x
    x = 34,404,677.51/6,989.58
  6. Step 6: Final answer
    x = 4,922.28

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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.