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Finding the Fourth Proportional to 8,661.50, 12,992.25 and 2,087.70

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Solution

The fourth proportional to 8,661.50, 12,992.25 and 2,087.70 is: 3,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.50 : 12,992.25 = 2,087.70 : x
  2. Step 2: Convert to fraction form
    8,661.50/12,992.25 = 2,087.70/x
  3. Step 3: Cross multiply
    8,661.50x = 12,992.25 × 2,087.70
  4. Step 4: Simplify right side
    8,661.50x = 27,123,879.43
  5. Step 5: Solve for x
    x = 27,123,879.43/8,661.50
  6. Step 6: Final answer
    x = 3,131.54

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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.