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Finding the Fourth Proportional to 6,873.33, 10,296.73 and 4,102.22

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Solution

The fourth proportional to 6,873.33, 10,296.73 and 4,102.22 is: 6,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.33 : 10,296.73 = 4,102.22 : x
  2. Step 2: Convert to fraction form
    6,873.33/10,296.73 = 4,102.22/x
  3. Step 3: Cross multiply
    6,873.33x = 10,296.73 × 4,102.22
  4. Step 4: Simplify right side
    6,873.33x = 42,239,451.74
  5. Step 5: Solve for x
    x = 42,239,451.74/6,873.33
  6. Step 6: Final answer
    x = 6,145.41

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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.