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Finding the Fourth Proportional to 10,954.29, 16,433.10 and 4,028.25

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Solution

The fourth proportional to 10,954.29, 16,433.10 and 4,028.25 is: 6,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.29 : 16,433.10 = 4,028.25 : x
  2. Step 2: Convert to fraction form
    10,954.29/16,433.10 = 4,028.25/x
  3. Step 3: Cross multiply
    10,954.29x = 16,433.10 × 4,028.25
  4. Step 4: Simplify right side
    10,954.29x = 66,196,635.08
  5. Step 5: Solve for x
    x = 66,196,635.08/10,954.29
  6. Step 6: Final answer
    x = 6,042.99

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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.