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Finding the Fourth Proportional to 11,846.25, 17,769.38 and 3,638.25

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Solution

The fourth proportional to 11,846.25, 17,769.38 and 3,638.25 is: 5,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.25 : 17,769.38 = 3,638.25 : x
  2. Step 2: Convert to fraction form
    11,846.25/17,769.38 = 3,638.25/x
  3. Step 3: Cross multiply
    11,846.25x = 17,769.38 × 3,638.25
  4. Step 4: Simplify right side
    11,846.25x = 64,649,428.59
  5. Step 5: Solve for x
    x = 64,649,428.59/11,846.25
  6. Step 6: Final answer
    x = 5,457.38

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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.