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Finding the Fourth Proportional to 6,920.82, 10,372.32 and 2,533.05

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Solution

The fourth proportional to 6,920.82, 10,372.32 and 2,533.05 is: 3,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.82 : 10,372.32 = 2,533.05 : x
  2. Step 2: Convert to fraction form
    6,920.82/10,372.32 = 2,533.05/x
  3. Step 3: Cross multiply
    6,920.82x = 10,372.32 × 2,533.05
  4. Step 4: Simplify right side
    6,920.82x = 26,273,605.18
  5. Step 5: Solve for x
    x = 26,273,605.18/6,920.82
  6. Step 6: Final answer
    x = 3,796.31

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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.