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Finding the Fourth Proportional to 11,645.38, 17,469.81 and 5,406.03

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Solution

The fourth proportional to 11,645.38, 17,469.81 and 5,406.03 is: 8,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.38 : 17,469.81 = 5,406.03 : x
  2. Step 2: Convert to fraction form
    11,645.38/17,469.81 = 5,406.03/x
  3. Step 3: Cross multiply
    11,645.38x = 17,469.81 × 5,406.03
  4. Step 4: Simplify right side
    11,645.38x = 94,442,316.95
  5. Step 5: Solve for x
    x = 94,442,316.95/11,645.38
  6. Step 6: Final answer
    x = 8,109.85

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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.