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Finding the Fourth Proportional to 10,224.91, 15,328.24 and 3,649.63

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Solution

The fourth proportional to 10,224.91, 15,328.24 and 3,649.63 is: 5,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.91 : 15,328.24 = 3,649.63 : x
  2. Step 2: Convert to fraction form
    10,224.91/15,328.24 = 3,649.63/x
  3. Step 3: Cross multiply
    10,224.91x = 15,328.24 × 3,649.63
  4. Step 4: Simplify right side
    10,224.91x = 55,942,404.55
  5. Step 5: Solve for x
    x = 55,942,404.55/10,224.91
  6. Step 6: Final answer
    x = 5,471.19

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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.