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Finding the Fourth Proportional to 8,109.05, 12,164.09 and 3,428.19

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Solution

The fourth proportional to 8,109.05, 12,164.09 and 3,428.19 is: 5,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.05 : 12,164.09 = 3,428.19 : x
  2. Step 2: Convert to fraction form
    8,109.05/12,164.09 = 3,428.19/x
  3. Step 3: Cross multiply
    8,109.05x = 12,164.09 × 3,428.19
  4. Step 4: Simplify right side
    8,109.05x = 41,700,820.27
  5. Step 5: Solve for x
    x = 41,700,820.27/8,109.05
  6. Step 6: Final answer
    x = 5,142.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.