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Finding the Fourth Proportional to 8,031.63, 12,042.37 and 3,872.68

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Solution

The fourth proportional to 8,031.63, 12,042.37 and 3,872.68 is: 5,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.63 : 12,042.37 = 3,872.68 : x
  2. Step 2: Convert to fraction form
    8,031.63/12,042.37 = 3,872.68/x
  3. Step 3: Cross multiply
    8,031.63x = 12,042.37 × 3,872.68
  4. Step 4: Simplify right side
    8,031.63x = 46,636,245.45
  5. Step 5: Solve for x
    x = 46,636,245.45/8,031.63
  6. Step 6: Final answer
    x = 5,806.57

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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.