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Finding the Fourth Proportional to 10,638.44, 15,936.32 and 6,419.28

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Solution

The fourth proportional to 10,638.44, 15,936.32 and 6,419.28 is: 9,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.44 : 15,936.32 = 6,419.28 : x
  2. Step 2: Convert to fraction form
    10,638.44/15,936.32 = 6,419.28/x
  3. Step 3: Cross multiply
    10,638.44x = 15,936.32 × 6,419.28
  4. Step 4: Simplify right side
    10,638.44x = 102,299,623.54
  5. Step 5: Solve for x
    x = 102,299,623.54/10,638.44
  6. Step 6: Final answer
    x = 9,616.04

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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.