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Finding the Fourth Proportional to 10,227.99, 15,350.19 and 5,299.04

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Solution

The fourth proportional to 10,227.99, 15,350.19 and 5,299.04 is: 7,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.99 : 15,350.19 = 5,299.04 : x
  2. Step 2: Convert to fraction form
    10,227.99/15,350.19 = 5,299.04/x
  3. Step 3: Cross multiply
    10,227.99x = 15,350.19 × 5,299.04
  4. Step 4: Simplify right side
    10,227.99x = 81,341,289.32
  5. Step 5: Solve for x
    x = 81,341,289.32/10,227.99
  6. Step 6: Final answer
    x = 7,952.81

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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.