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Finding the Fourth Proportional to 8,113.82, 12,166.27 and 3,666.26

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Solution

The fourth proportional to 8,113.82, 12,166.27 and 3,666.26 is: 5,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.82 : 12,166.27 = 3,666.26 : x
  2. Step 2: Convert to fraction form
    8,113.82/12,166.27 = 3,666.26/x
  3. Step 3: Cross multiply
    8,113.82x = 12,166.27 × 3,666.26
  4. Step 4: Simplify right side
    8,113.82x = 44,604,709.05
  5. Step 5: Solve for x
    x = 44,604,709.05/8,113.82
  6. Step 6: Final answer
    x = 5,497.37

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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.