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Finding the Fourth Proportional to 8,002.63, 12,008.26 and 3,898.63

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Solution

The fourth proportional to 8,002.63, 12,008.26 and 3,898.63 is: 5,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.63 : 12,008.26 = 3,898.63 : x
  2. Step 2: Convert to fraction form
    8,002.63/12,008.26 = 3,898.63/x
  3. Step 3: Cross multiply
    8,002.63x = 12,008.26 × 3,898.63
  4. Step 4: Simplify right side
    8,002.63x = 46,815,743.19
  5. Step 5: Solve for x
    x = 46,815,743.19/8,002.63
  6. Step 6: Final answer
    x = 5,850.04

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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.