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Finding the Fourth Proportional to 10,644.94, 15,969.03 and 3,149.20

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Solution

The fourth proportional to 10,644.94, 15,969.03 and 3,149.20 is: 4,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.94 : 15,969.03 = 3,149.20 : x
  2. Step 2: Convert to fraction form
    10,644.94/15,969.03 = 3,149.20/x
  3. Step 3: Cross multiply
    10,644.94x = 15,969.03 × 3,149.20
  4. Step 4: Simplify right side
    10,644.94x = 50,289,669.28
  5. Step 5: Solve for x
    x = 50,289,669.28/10,644.94
  6. Step 6: Final answer
    x = 4,724.28

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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.