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Finding the Fourth Proportional to 6,819.16, 10,210.50 and 3,893.44

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Solution

The fourth proportional to 6,819.16, 10,210.50 and 3,893.44 is: 5,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.16 : 10,210.50 = 3,893.44 : x
  2. Step 2: Convert to fraction form
    6,819.16/10,210.50 = 3,893.44/x
  3. Step 3: Cross multiply
    6,819.16x = 10,210.50 × 3,893.44
  4. Step 4: Simplify right side
    6,819.16x = 39,753,969.12
  5. Step 5: Solve for x
    x = 39,753,969.12/6,819.16
  6. Step 6: Final answer
    x = 5,829.75

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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.