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Finding the Fourth Proportional to 11,105.40, 16,662.96 and 5,910

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Solution

The fourth proportional to 11,105.40, 16,662.96 and 5,910 is: 8,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.40 : 16,662.96 = 5,910 : x
  2. Step 2: Convert to fraction form
    11,105.40/16,662.96 = 5,910/x
  3. Step 3: Cross multiply
    11,105.40x = 16,662.96 × 5,910
  4. Step 4: Simplify right side
    11,105.40x = 98,478,093.60
  5. Step 5: Solve for x
    x = 98,478,093.60/11,105.40
  6. Step 6: Final answer
    x = 8,867.59

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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.