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Finding the Fourth Proportional to 11,197.34, 16,796.08 and 3,406.14

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Solution

The fourth proportional to 11,197.34, 16,796.08 and 3,406.14 is: 5,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.34 : 16,796.08 = 3,406.14 : x
  2. Step 2: Convert to fraction form
    11,197.34/16,796.08 = 3,406.14/x
  3. Step 3: Cross multiply
    11,197.34x = 16,796.08 × 3,406.14
  4. Step 4: Simplify right side
    11,197.34x = 57,209,799.93
  5. Step 5: Solve for x
    x = 57,209,799.93/11,197.34
  6. Step 6: Final answer
    x = 5,109.23

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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.