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Finding the Fourth Proportional to 11,484.25, 17,230.80 and 4,469.21

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Solution

The fourth proportional to 11,484.25, 17,230.80 and 4,469.21 is: 6,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.25 : 17,230.80 = 4,469.21 : x
  2. Step 2: Convert to fraction form
    11,484.25/17,230.80 = 4,469.21/x
  3. Step 3: Cross multiply
    11,484.25x = 17,230.80 × 4,469.21
  4. Step 4: Simplify right side
    11,484.25x = 77,008,074.84
  5. Step 5: Solve for x
    x = 77,008,074.84/11,484.25
  6. Step 6: Final answer
    x = 6,705.54

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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.