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Finding the Fourth Proportional to 11,997.84, 17,998.68 and 5,423.76

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Solution

The fourth proportional to 11,997.84, 17,998.68 and 5,423.76 is: 8,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.84 : 17,998.68 = 5,423.76 : x
  2. Step 2: Convert to fraction form
    11,997.84/17,998.68 = 5,423.76/x
  3. Step 3: Cross multiply
    11,997.84x = 17,998.68 × 5,423.76
  4. Step 4: Simplify right side
    11,997.84x = 97,620,520.64
  5. Step 5: Solve for x
    x = 97,620,520.64/11,997.84
  6. Step 6: Final answer
    x = 8,136.51

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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.