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Finding the Fourth Proportional to 10,287.99, 15,431.97 and 3,362.49

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Solution

The fourth proportional to 10,287.99, 15,431.97 and 3,362.49 is: 5,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.99 : 15,431.97 = 3,362.49 : x
  2. Step 2: Convert to fraction form
    10,287.99/15,431.97 = 3,362.49/x
  3. Step 3: Cross multiply
    10,287.99x = 15,431.97 × 3,362.49
  4. Step 4: Simplify right side
    10,287.99x = 51,889,857.41
  5. Step 5: Solve for x
    x = 51,889,857.41/10,287.99
  6. Step 6: Final answer
    x = 5,043.73

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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.