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Finding the Fourth Proportional to 8,009.69, 12,014.60 and 2,166.35

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Solution

The fourth proportional to 8,009.69, 12,014.60 and 2,166.35 is: 3,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.69 : 12,014.60 = 2,166.35 : x
  2. Step 2: Convert to fraction form
    8,009.69/12,014.60 = 2,166.35/x
  3. Step 3: Cross multiply
    8,009.69x = 12,014.60 × 2,166.35
  4. Step 4: Simplify right side
    8,009.69x = 26,027,757.81
  5. Step 5: Solve for x
    x = 26,027,757.81/8,009.69
  6. Step 6: Final answer
    x = 3,249.54

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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.