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Finding the Fourth Proportional to 8,204.81, 12,278.05 and 6,008.09

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Solution

The fourth proportional to 8,204.81, 12,278.05 and 6,008.09 is: 8,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.81 : 12,278.05 = 6,008.09 : x
  2. Step 2: Convert to fraction form
    8,204.81/12,278.05 = 6,008.09/x
  3. Step 3: Cross multiply
    8,204.81x = 12,278.05 × 6,008.09
  4. Step 4: Simplify right side
    8,204.81x = 73,767,553.01
  5. Step 5: Solve for x
    x = 73,767,553.01/8,204.81
  6. Step 6: Final answer
    x = 8,990.77

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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.