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Finding the Fourth Proportional to 6,819.16, 10,224.60 and 4,449

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Solution

The fourth proportional to 6,819.16, 10,224.60 and 4,449 is: 6,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.16 : 10,224.60 = 4,449 : x
  2. Step 2: Convert to fraction form
    6,819.16/10,224.60 = 4,449/x
  3. Step 3: Cross multiply
    6,819.16x = 10,224.60 × 4,449
  4. Step 4: Simplify right side
    6,819.16x = 45,489,245.40
  5. Step 5: Solve for x
    x = 45,489,245.40/6,819.16
  6. Step 6: Final answer
    x = 6,670.80

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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.