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Finding the Fourth Proportional to 6,858.36, 10,290.96 and 3,573

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Solution

The fourth proportional to 6,858.36, 10,290.96 and 3,573 is: 5,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.36 : 10,290.96 = 3,573 : x
  2. Step 2: Convert to fraction form
    6,858.36/10,290.96 = 3,573/x
  3. Step 3: Cross multiply
    6,858.36x = 10,290.96 × 3,573
  4. Step 4: Simplify right side
    6,858.36x = 36,769,600.08
  5. Step 5: Solve for x
    x = 36,769,600.08/6,858.36
  6. Step 6: Final answer
    x = 5,361.28

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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.