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Finding the Fourth Proportional to 8,002.86, 12,006.31 and 2,456.48

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Solution

The fourth proportional to 8,002.86, 12,006.31 and 2,456.48 is: 3,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.86 : 12,006.31 = 2,456.48 : x
  2. Step 2: Convert to fraction form
    8,002.86/12,006.31 = 2,456.48/x
  3. Step 3: Cross multiply
    8,002.86x = 12,006.31 × 2,456.48
  4. Step 4: Simplify right side
    8,002.86x = 29,493,260.39
  5. Step 5: Solve for x
    x = 29,493,260.39/8,002.86
  6. Step 6: Final answer
    x = 3,685.34

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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.