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Finding the Fourth Proportional to 11,214.84, 16,824.06 and 3,819.72

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Solution

The fourth proportional to 11,214.84, 16,824.06 and 3,819.72 is: 5,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.84 : 16,824.06 = 3,819.72 : x
  2. Step 2: Convert to fraction form
    11,214.84/16,824.06 = 3,819.72/x
  3. Step 3: Cross multiply
    11,214.84x = 16,824.06 × 3,819.72
  4. Step 4: Simplify right side
    11,214.84x = 64,263,198.46
  5. Step 5: Solve for x
    x = 64,263,198.46/11,214.84
  6. Step 6: Final answer
    x = 5,730.19

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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.