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Finding the Fourth Proportional to 6,883.65, 10,326.16 and 2,202.48

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Solution

The fourth proportional to 6,883.65, 10,326.16 and 2,202.48 is: 3,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.65 : 10,326.16 = 2,202.48 : x
  2. Step 2: Convert to fraction form
    6,883.65/10,326.16 = 2,202.48/x
  3. Step 3: Cross multiply
    6,883.65x = 10,326.16 × 2,202.48
  4. Step 4: Simplify right side
    6,883.65x = 22,743,160.88
  5. Step 5: Solve for x
    x = 22,743,160.88/6,883.65
  6. Step 6: Final answer
    x = 3,303.94

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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.