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Finding the Fourth Proportional to 11,864.06, 17,785.09 and 5,626.99

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Solution

The fourth proportional to 11,864.06, 17,785.09 and 5,626.99 is: 8,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.06 : 17,785.09 = 5,626.99 : x
  2. Step 2: Convert to fraction form
    11,864.06/17,785.09 = 5,626.99/x
  3. Step 3: Cross multiply
    11,864.06x = 17,785.09 × 5,626.99
  4. Step 4: Simplify right side
    11,864.06x = 100,076,495.44
  5. Step 5: Solve for x
    x = 100,076,495.44/11,864.06
  6. Step 6: Final answer
    x = 8,435.27

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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.