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Finding the Fourth Proportional to 11,214.72, 16,821 and 3,819.06

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Solution

The fourth proportional to 11,214.72, 16,821 and 3,819.06 is: 5,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.72 : 16,821 = 3,819.06 : x
  2. Step 2: Convert to fraction form
    11,214.72/16,821 = 3,819.06/x
  3. Step 3: Cross multiply
    11,214.72x = 16,821 × 3,819.06
  4. Step 4: Simplify right side
    11,214.72x = 64,240,408.26
  5. Step 5: Solve for x
    x = 64,240,408.26/11,214.72
  6. Step 6: Final answer
    x = 5,728.22

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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.