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Finding the Fourth Proportional to 11,674.24, 17,511.38 and 3,466.24

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Solution

The fourth proportional to 11,674.24, 17,511.38 and 3,466.24 is: 5,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.24 : 17,511.38 = 3,466.24 : x
  2. Step 2: Convert to fraction form
    11,674.24/17,511.38 = 3,466.24/x
  3. Step 3: Cross multiply
    11,674.24x = 17,511.38 × 3,466.24
  4. Step 4: Simplify right side
    11,674.24x = 60,698,645.81
  5. Step 5: Solve for x
    x = 60,698,645.81/11,674.24
  6. Step 6: Final answer
    x = 5,199.37

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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.