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Finding the Fourth Proportional to 10,796.64, 16,197.00 and 4,222.41

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Solution

The fourth proportional to 10,796.64, 16,197.00 and 4,222.41 is: 6,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.64 : 16,197.00 = 4,222.41 : x
  2. Step 2: Convert to fraction form
    10,796.64/16,197.00 = 4,222.41/x
  3. Step 3: Cross multiply
    10,796.64x = 16,197.00 × 4,222.41
  4. Step 4: Simplify right side
    10,796.64x = 68,390,298.20
  5. Step 5: Solve for x
    x = 68,390,298.20/10,796.64
  6. Step 6: Final answer
    x = 6,334.41

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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.