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Finding the Fourth Proportional to 7,645.96, 11,471.09 and 4,361.38

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Solution

The fourth proportional to 7,645.96, 11,471.09 and 4,361.38 is: 6,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.96 : 11,471.09 = 4,361.38 : x
  2. Step 2: Convert to fraction form
    7,645.96/11,471.09 = 4,361.38/x
  3. Step 3: Cross multiply
    7,645.96x = 11,471.09 × 4,361.38
  4. Step 4: Simplify right side
    7,645.96x = 50,029,732.02
  5. Step 5: Solve for x
    x = 50,029,732.02/7,645.96
  6. Step 6: Final answer
    x = 6,543.29

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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.