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Finding the Fourth Proportional to 10,616.40, 15,922.81 and 3,219.09

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Solution

The fourth proportional to 10,616.40, 15,922.81 and 3,219.09 is: 4,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.40 : 15,922.81 = 3,219.09 : x
  2. Step 2: Convert to fraction form
    10,616.40/15,922.81 = 3,219.09/x
  3. Step 3: Cross multiply
    10,616.40x = 15,922.81 × 3,219.09
  4. Step 4: Simplify right side
    10,616.40x = 51,256,958.44
  5. Step 5: Solve for x
    x = 51,256,958.44/10,616.40
  6. Step 6: Final answer
    x = 4,828.09

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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.