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Finding the Fourth Proportional to 10,310.49, 15,458.17 and 3,286.47

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Solution

The fourth proportional to 10,310.49, 15,458.17 and 3,286.47 is: 4,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.49 : 15,458.17 = 3,286.47 : x
  2. Step 2: Convert to fraction form
    10,310.49/15,458.17 = 3,286.47/x
  3. Step 3: Cross multiply
    10,310.49x = 15,458.17 × 3,286.47
  4. Step 4: Simplify right side
    10,310.49x = 50,802,811.96
  5. Step 5: Solve for x
    x = 50,802,811.96/10,310.49
  6. Step 6: Final answer
    x = 4,927.29

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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.