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Finding the Fourth Proportional to 10,796.16, 16,193.46 and 3,402.74

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Solution

The fourth proportional to 10,796.16, 16,193.46 and 3,402.74 is: 5,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.16 : 16,193.46 = 3,402.74 : x
  2. Step 2: Convert to fraction form
    10,796.16/16,193.46 = 3,402.74/x
  3. Step 3: Cross multiply
    10,796.16x = 16,193.46 × 3,402.74
  4. Step 4: Simplify right side
    10,796.16x = 55,102,053.11
  5. Step 5: Solve for x
    x = 55,102,053.11/10,796.16
  6. Step 6: Final answer
    x = 5,103.86

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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.