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Finding the Fourth Proportional to 6,687.96, 10,033.29 and 4,608.96

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Solution

The fourth proportional to 6,687.96, 10,033.29 and 4,608.96 is: 6,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.96 : 10,033.29 = 4,608.96 : x
  2. Step 2: Convert to fraction form
    6,687.96/10,033.29 = 4,608.96/x
  3. Step 3: Cross multiply
    6,687.96x = 10,033.29 × 4,608.96
  4. Step 4: Simplify right side
    6,687.96x = 46,243,032.28
  5. Step 5: Solve for x
    x = 46,243,032.28/6,687.96
  6. Step 6: Final answer
    x = 6,914.37

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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.