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Finding the Fourth Proportional to 10,798.96, 16,197.03 and 4,229.80

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Solution

The fourth proportional to 10,798.96, 16,197.03 and 4,229.80 is: 6,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.96 : 16,197.03 = 4,229.80 : x
  2. Step 2: Convert to fraction form
    10,798.96/16,197.03 = 4,229.80/x
  3. Step 3: Cross multiply
    10,798.96x = 16,197.03 × 4,229.80
  4. Step 4: Simplify right side
    10,798.96x = 68,510,197.49
  5. Step 5: Solve for x
    x = 68,510,197.49/10,798.96
  6. Step 6: Final answer
    x = 6,344.15

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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.