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Finding the Fourth Proportional to 10,844.28, 14,965.02 and 6,367.14

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Solution

The fourth proportional to 10,844.28, 14,965.02 and 6,367.14 is: 8,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.28 : 14,965.02 = 6,367.14 : x
  2. Step 2: Convert to fraction form
    10,844.28/14,965.02 = 6,367.14/x
  3. Step 3: Cross multiply
    10,844.28x = 14,965.02 × 6,367.14
  4. Step 4: Simplify right side
    10,844.28x = 95,284,377.44
  5. Step 5: Solve for x
    x = 95,284,377.44/10,844.28
  6. Step 6: Final answer
    x = 8,786.60

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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.