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Finding the Fourth Proportional to 6,813.63, 10,220.42 and 1,883.26

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Solution

The fourth proportional to 6,813.63, 10,220.42 and 1,883.26 is: 2,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.63 : 10,220.42 = 1,883.26 : x
  2. Step 2: Convert to fraction form
    6,813.63/10,220.42 = 1,883.26/x
  3. Step 3: Cross multiply
    6,813.63x = 10,220.42 × 1,883.26
  4. Step 4: Simplify right side
    6,813.63x = 19,247,708.17
  5. Step 5: Solve for x
    x = 19,247,708.17/6,813.63
  6. Step 6: Final answer
    x = 2,824.88

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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.