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Finding the Fourth Proportional to 11,919.63, 16,449.21 and 6,614.49

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Solution

The fourth proportional to 11,919.63, 16,449.21 and 6,614.49 is: 9,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.63 : 16,449.21 = 6,614.49 : x
  2. Step 2: Convert to fraction form
    11,919.63/16,449.21 = 6,614.49/x
  3. Step 3: Cross multiply
    11,919.63x = 16,449.21 × 6,614.49
  4. Step 4: Simplify right side
    11,919.63x = 108,803,135.05
  5. Step 5: Solve for x
    x = 108,803,135.05/11,919.63
  6. Step 6: Final answer
    x = 9,128.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.