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Finding the Fourth Proportional to 8,828.84, 13,243.25 and 2,255.03

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Solution

The fourth proportional to 8,828.84, 13,243.25 and 2,255.03 is: 3,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.84 : 13,243.25 = 2,255.03 : x
  2. Step 2: Convert to fraction form
    8,828.84/13,243.25 = 2,255.03/x
  3. Step 3: Cross multiply
    8,828.84x = 13,243.25 × 2,255.03
  4. Step 4: Simplify right side
    8,828.84x = 29,863,926.05
  5. Step 5: Solve for x
    x = 29,863,926.05/8,828.84
  6. Step 6: Final answer
    x = 3,382.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.