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Finding the Fourth Proportional to 11,919.42, 16,447.05 and 6,614.28

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Solution

The fourth proportional to 11,919.42, 16,447.05 and 6,614.28 is: 9,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.42 : 16,447.05 = 6,614.28 : x
  2. Step 2: Convert to fraction form
    11,919.42/16,447.05 = 6,614.28/x
  3. Step 3: Cross multiply
    11,919.42x = 16,447.05 × 6,614.28
  4. Step 4: Simplify right side
    11,919.42x = 108,785,393.87
  5. Step 5: Solve for x
    x = 108,785,393.87/11,919.42
  6. Step 6: Final answer
    x = 9,126.74

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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.