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Finding the Fourth Proportional to 8,006.86, 12,008.67 and 2,162.10

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Solution

The fourth proportional to 8,006.86, 12,008.67 and 2,162.10 is: 3,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.86 : 12,008.67 = 2,162.10 : x
  2. Step 2: Convert to fraction form
    8,006.86/12,008.67 = 2,162.10/x
  3. Step 3: Cross multiply
    8,006.86x = 12,008.67 × 2,162.10
  4. Step 4: Simplify right side
    8,006.86x = 25,963,945.41
  5. Step 5: Solve for x
    x = 25,963,945.41/8,006.86
  6. Step 6: Final answer
    x = 3,242.71

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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.