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Finding the Fourth Proportional to 10,722.84, 16,078.42 and 3,324.12

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Solution

The fourth proportional to 10,722.84, 16,078.42 and 3,324.12 is: 4,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.84 : 16,078.42 = 3,324.12 : x
  2. Step 2: Convert to fraction form
    10,722.84/16,078.42 = 3,324.12/x
  3. Step 3: Cross multiply
    10,722.84x = 16,078.42 × 3,324.12
  4. Step 4: Simplify right side
    10,722.84x = 53,446,597.49
  5. Step 5: Solve for x
    x = 53,446,597.49/10,722.84
  6. Step 6: Final answer
    x = 4,984.37

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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.