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Finding the Fourth Proportional to 10,865.36, 16,297.69 and 3,470.27

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Solution

The fourth proportional to 10,865.36, 16,297.69 and 3,470.27 is: 5,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.36 : 16,297.69 = 3,470.27 : x
  2. Step 2: Convert to fraction form
    10,865.36/16,297.69 = 3,470.27/x
  3. Step 3: Cross multiply
    10,865.36x = 16,297.69 × 3,470.27
  4. Step 4: Simplify right side
    10,865.36x = 56,557,384.68
  5. Step 5: Solve for x
    x = 56,557,384.68/10,865.36
  6. Step 6: Final answer
    x = 5,205.29

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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.