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Finding the Fourth Proportional to 11,665.50, 16,104.14 and 8,083.17

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Solution

The fourth proportional to 11,665.50, 16,104.14 and 8,083.17 is: 11,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.50 : 16,104.14 = 8,083.17 : x
  2. Step 2: Convert to fraction form
    11,665.50/16,104.14 = 8,083.17/x
  3. Step 3: Cross multiply
    11,665.50x = 16,104.14 × 8,083.17
  4. Step 4: Simplify right side
    11,665.50x = 130,172,460.91
  5. Step 5: Solve for x
    x = 130,172,460.91/11,665.50
  6. Step 6: Final answer
    x = 11,158.76

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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.