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Finding the Fourth Proportional to 8,031.23, 12,039.91 and 3,865.50

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Solution

The fourth proportional to 8,031.23, 12,039.91 and 3,865.50 is: 5,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.23 : 12,039.91 = 3,865.50 : x
  2. Step 2: Convert to fraction form
    8,031.23/12,039.91 = 3,865.50/x
  3. Step 3: Cross multiply
    8,031.23x = 12,039.91 × 3,865.50
  4. Step 4: Simplify right side
    8,031.23x = 46,540,262.44
  5. Step 5: Solve for x
    x = 46,540,262.44/8,031.23
  6. Step 6: Final answer
    x = 5,794.91

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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.