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Finding the Fourth Proportional to 10,796.16, 16,194.24 and 3,004.96

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Solution

The fourth proportional to 10,796.16, 16,194.24 and 3,004.96 is: 4,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.16 : 16,194.24 = 3,004.96 : x
  2. Step 2: Convert to fraction form
    10,796.16/16,194.24 = 3,004.96/x
  3. Step 3: Cross multiply
    10,796.16x = 16,194.24 × 3,004.96
  4. Step 4: Simplify right side
    10,796.16x = 48,663,043.43
  5. Step 5: Solve for x
    x = 48,663,043.43/10,796.16
  6. Step 6: Final answer
    x = 4,507.44

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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.