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Finding the Fourth Proportional to 11,155.14, 16,735.11 and 4,229.64

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Solution

The fourth proportional to 11,155.14, 16,735.11 and 4,229.64 is: 6,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.14 : 16,735.11 = 4,229.64 : x
  2. Step 2: Convert to fraction form
    11,155.14/16,735.11 = 4,229.64/x
  3. Step 3: Cross multiply
    11,155.14x = 16,735.11 × 4,229.64
  4. Step 4: Simplify right side
    11,155.14x = 70,783,490.66
  5. Step 5: Solve for x
    x = 70,783,490.66/11,155.14
  6. Step 6: Final answer
    x = 6,345.37

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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.