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Finding the Fourth Proportional to 8,005.86, 12,007.17 and 2,161.10

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Solution

The fourth proportional to 8,005.86, 12,007.17 and 2,161.10 is: 3,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.86 : 12,007.17 = 2,161.10 : x
  2. Step 2: Convert to fraction form
    8,005.86/12,007.17 = 2,161.10/x
  3. Step 3: Cross multiply
    8,005.86x = 12,007.17 × 2,161.10
  4. Step 4: Simplify right side
    8,005.86x = 25,948,695.09
  5. Step 5: Solve for x
    x = 25,948,695.09/8,005.86
  6. Step 6: Final answer
    x = 3,241.21

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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.