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Finding the Fourth Proportional to 6,740.22, 10,111.94 and 2,123.22

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Solution

The fourth proportional to 6,740.22, 10,111.94 and 2,123.22 is: 3,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.22 : 10,111.94 = 2,123.22 : x
  2. Step 2: Convert to fraction form
    6,740.22/10,111.94 = 2,123.22/x
  3. Step 3: Cross multiply
    6,740.22x = 10,111.94 × 2,123.22
  4. Step 4: Simplify right side
    6,740.22x = 21,469,873.25
  5. Step 5: Solve for x
    x = 21,469,873.25/6,740.22
  6. Step 6: Final answer
    x = 3,185.34

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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.