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Finding the Fourth Proportional to 10,821.84, 16,234.37 and 3,423.84

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Solution

The fourth proportional to 10,821.84, 16,234.37 and 3,423.84 is: 5,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.84 : 16,234.37 = 3,423.84 : x
  2. Step 2: Convert to fraction form
    10,821.84/16,234.37 = 3,423.84/x
  3. Step 3: Cross multiply
    10,821.84x = 16,234.37 × 3,423.84
  4. Step 4: Simplify right side
    10,821.84x = 55,583,885.38
  5. Step 5: Solve for x
    x = 55,583,885.38/10,821.84
  6. Step 6: Final answer
    x = 5,136.27

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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.