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Finding the Fourth Proportional to 8,117.92, 12,166.23 and 4,165.84

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Solution

The fourth proportional to 8,117.92, 12,166.23 and 4,165.84 is: 6,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.92 : 12,166.23 = 4,165.84 : x
  2. Step 2: Convert to fraction form
    8,117.92/12,166.23 = 4,165.84/x
  3. Step 3: Cross multiply
    8,117.92x = 12,166.23 × 4,165.84
  4. Step 4: Simplify right side
    8,117.92x = 50,682,567.58
  5. Step 5: Solve for x
    x = 50,682,567.58/8,117.92
  6. Step 6: Final answer
    x = 6,243.29

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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.