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Finding the Fourth Proportional to 6,810.94, 10,212.74 and 2,066.44

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Solution

The fourth proportional to 6,810.94, 10,212.74 and 2,066.44 is: 3,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.94 : 10,212.74 = 2,066.44 : x
  2. Step 2: Convert to fraction form
    6,810.94/10,212.74 = 2,066.44/x
  3. Step 3: Cross multiply
    6,810.94x = 10,212.74 × 2,066.44
  4. Step 4: Simplify right side
    6,810.94x = 21,103,994.08
  5. Step 5: Solve for x
    x = 21,103,994.08/6,810.94
  6. Step 6: Final answer
    x = 3,098.54

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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.