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Finding the Fourth Proportional to 8,010.46, 12,015.24 and 2,166.63

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Solution

The fourth proportional to 8,010.46, 12,015.24 and 2,166.63 is: 3,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.46 : 12,015.24 = 2,166.63 : x
  2. Step 2: Convert to fraction form
    8,010.46/12,015.24 = 2,166.63/x
  3. Step 3: Cross multiply
    8,010.46x = 12,015.24 × 2,166.63
  4. Step 4: Simplify right side
    8,010.46x = 26,032,579.44
  5. Step 5: Solve for x
    x = 26,032,579.44/8,010.46
  6. Step 6: Final answer
    x = 3,249.82

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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.