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Finding the Fourth Proportional to 8,122.26, 11,208.72 and 4,396.26

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Solution

The fourth proportional to 8,122.26, 11,208.72 and 4,396.26 is: 6,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.26 : 11,208.72 = 4,396.26 : x
  2. Step 2: Convert to fraction form
    8,122.26/11,208.72 = 4,396.26/x
  3. Step 3: Cross multiply
    8,122.26x = 11,208.72 × 4,396.26
  4. Step 4: Simplify right side
    8,122.26x = 49,276,447.39
  5. Step 5: Solve for x
    x = 49,276,447.39/8,122.26
  6. Step 6: Final answer
    x = 6,066.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.