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Finding the Fourth Proportional to 11,906.14, 16,407.82 and 8,720.41

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Solution

The fourth proportional to 11,906.14, 16,407.82 and 8,720.41 is: 12,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.14 : 16,407.82 = 8,720.41 : x
  2. Step 2: Convert to fraction form
    11,906.14/16,407.82 = 8,720.41/x
  3. Step 3: Cross multiply
    11,906.14x = 16,407.82 × 8,720.41
  4. Step 4: Simplify right side
    11,906.14x = 143,082,917.61
  5. Step 5: Solve for x
    x = 143,082,917.61/11,906.14
  6. Step 6: Final answer
    x = 12,017.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.