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Finding the Fourth Proportional to 10,028.40, 13,838 and 6,199.44

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Solution

The fourth proportional to 10,028.40, 13,838 and 6,199.44 is: 8,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.40 : 13,838 = 6,199.44 : x
  2. Step 2: Convert to fraction form
    10,028.40/13,838 = 6,199.44/x
  3. Step 3: Cross multiply
    10,028.40x = 13,838 × 6,199.44
  4. Step 4: Simplify right side
    10,028.40x = 85,787,850.72
  5. Step 5: Solve for x
    x = 85,787,850.72/10,028.40
  6. Step 6: Final answer
    x = 8,554.49

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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.