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Finding the Fourth Proportional to 8,109.87, 12,166.05 and 3,429.89

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Solution

The fourth proportional to 8,109.87, 12,166.05 and 3,429.89 is: 5,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.87 : 12,166.05 = 3,429.89 : x
  2. Step 2: Convert to fraction form
    8,109.87/12,166.05 = 3,429.89/x
  3. Step 3: Cross multiply
    8,109.87x = 12,166.05 × 3,429.89
  4. Step 4: Simplify right side
    8,109.87x = 41,728,152.40
  5. Step 5: Solve for x
    x = 41,728,152.40/8,109.87
  6. Step 6: Final answer
    x = 5,145.35

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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.