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Finding the Fourth Proportional to 11,269, 16,899.91 and 3,871.68

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Solution

The fourth proportional to 11,269, 16,899.91 and 3,871.68 is: 5,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269 : 16,899.91 = 3,871.68 : x
  2. Step 2: Convert to fraction form
    11,269/16,899.91 = 3,871.68/x
  3. Step 3: Cross multiply
    11,269x = 16,899.91 × 3,871.68
  4. Step 4: Simplify right side
    11,269x = 65,430,939.69
  5. Step 5: Solve for x
    x = 65,430,939.69/11,269
  6. Step 6: Final answer
    x = 5,806.28

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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.