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Finding the Fourth Proportional to 10,728.24, 16,083.06 and 4,149.90

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Solution

The fourth proportional to 10,728.24, 16,083.06 and 4,149.90 is: 6,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.24 : 16,083.06 = 4,149.90 : x
  2. Step 2: Convert to fraction form
    10,728.24/16,083.06 = 4,149.90/x
  3. Step 3: Cross multiply
    10,728.24x = 16,083.06 × 4,149.90
  4. Step 4: Simplify right side
    10,728.24x = 66,743,090.69
  5. Step 5: Solve for x
    x = 66,743,090.69/10,728.24
  6. Step 6: Final answer
    x = 6,221.25

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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.