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Finding the Fourth Proportional to 8,110.75, 12,085.49 and 7,226.45

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Solution

The fourth proportional to 8,110.75, 12,085.49 and 7,226.45 is: 10,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.75 : 12,085.49 = 7,226.45 : x
  2. Step 2: Convert to fraction form
    8,110.75/12,085.49 = 7,226.45/x
  3. Step 3: Cross multiply
    8,110.75x = 12,085.49 × 7,226.45
  4. Step 4: Simplify right side
    8,110.75x = 87,335,189.21
  5. Step 5: Solve for x
    x = 87,335,189.21/8,110.75
  6. Step 6: Final answer
    x = 10,767.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.