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Finding the Fourth Proportional to 8,009.70, 12,014.55 and 2,166.30

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Solution

The fourth proportional to 8,009.70, 12,014.55 and 2,166.30 is: 3,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.70 : 12,014.55 = 2,166.30 : x
  2. Step 2: Convert to fraction form
    8,009.70/12,014.55 = 2,166.30/x
  3. Step 3: Cross multiply
    8,009.70x = 12,014.55 × 2,166.30
  4. Step 4: Simplify right side
    8,009.70x = 26,027,119.67
  5. Step 5: Solve for x
    x = 26,027,119.67/8,009.70
  6. Step 6: Final answer
    x = 3,249.45

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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.