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Finding the Fourth Proportional to 8,042.45, 12,068.64 and 3,882.87

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Solution

The fourth proportional to 8,042.45, 12,068.64 and 3,882.87 is: 5,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.45 : 12,068.64 = 3,882.87 : x
  2. Step 2: Convert to fraction form
    8,042.45/12,068.64 = 3,882.87/x
  3. Step 3: Cross multiply
    8,042.45x = 12,068.64 × 3,882.87
  4. Step 4: Simplify right side
    8,042.45x = 46,860,960.20
  5. Step 5: Solve for x
    x = 46,860,960.20/8,042.45
  6. Step 6: Final answer
    x = 5,826.71

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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.