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Finding the Fourth Proportional to 11,171.16, 16,767.54 and 8,513.82

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Solution

The fourth proportional to 11,171.16, 16,767.54 and 8,513.82 is: 12,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.16 : 16,767.54 = 8,513.82 : x
  2. Step 2: Convert to fraction form
    11,171.16/16,767.54 = 8,513.82/x
  3. Step 3: Cross multiply
    11,171.16x = 16,767.54 × 8,513.82
  4. Step 4: Simplify right side
    11,171.16x = 142,755,817.40
  5. Step 5: Solve for x
    x = 142,755,817.40/11,171.16
  6. Step 6: Final answer
    x = 12,778.96

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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.