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Finding the Fourth Proportional to 6,976.33, 10,464.49 and 3,083.47

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Solution

The fourth proportional to 6,976.33, 10,464.49 and 3,083.47 is: 4,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.33 : 10,464.49 = 3,083.47 : x
  2. Step 2: Convert to fraction form
    6,976.33/10,464.49 = 3,083.47/x
  3. Step 3: Cross multiply
    6,976.33x = 10,464.49 × 3,083.47
  4. Step 4: Simplify right side
    6,976.33x = 32,266,918.67
  5. Step 5: Solve for x
    x = 32,266,918.67/6,976.33
  6. Step 6: Final answer
    x = 4,625.20

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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.