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Finding the Fourth Proportional to 8,190.77, 12,284.97 and 4,029.67

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Solution

The fourth proportional to 8,190.77, 12,284.97 and 4,029.67 is: 6,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.77 : 12,284.97 = 4,029.67 : x
  2. Step 2: Convert to fraction form
    8,190.77/12,284.97 = 4,029.67/x
  3. Step 3: Cross multiply
    8,190.77x = 12,284.97 × 4,029.67
  4. Step 4: Simplify right side
    8,190.77x = 49,504,306.20
  5. Step 5: Solve for x
    x = 49,504,306.20/8,190.77
  6. Step 6: Final answer
    x = 6,043.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.