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Finding the Fourth Proportional to 11,616.59, 17,415.15 and 8,096.27

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Solution

The fourth proportional to 11,616.59, 17,415.15 and 8,096.27 is: 12,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.59 : 17,415.15 = 8,096.27 : x
  2. Step 2: Convert to fraction form
    11,616.59/17,415.15 = 8,096.27/x
  3. Step 3: Cross multiply
    11,616.59x = 17,415.15 × 8,096.27
  4. Step 4: Simplify right side
    11,616.59x = 140,997,669.41
  5. Step 5: Solve for x
    x = 140,997,669.41/11,616.59
  6. Step 6: Final answer
    x = 12,137.62

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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.