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Finding the Fourth Proportional to 8,089.77, 12,134.10 and 2,166.65

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Solution

The fourth proportional to 8,089.77, 12,134.10 and 2,166.65 is: 3,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.77 : 12,134.10 = 2,166.65 : x
  2. Step 2: Convert to fraction form
    8,089.77/12,134.10 = 2,166.65/x
  3. Step 3: Cross multiply
    8,089.77x = 12,134.10 × 2,166.65
  4. Step 4: Simplify right side
    8,089.77x = 26,290,340.72
  5. Step 5: Solve for x
    x = 26,290,340.72/8,089.77
  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.