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Finding the Fourth Proportional to 10,954.32, 16,433.10 and 4,028.28

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Solution

The fourth proportional to 10,954.32, 16,433.10 and 4,028.28 is: 6,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.32 : 16,433.10 = 4,028.28 : x
  2. Step 2: Convert to fraction form
    10,954.32/16,433.10 = 4,028.28/x
  3. Step 3: Cross multiply
    10,954.32x = 16,433.10 × 4,028.28
  4. Step 4: Simplify right side
    10,954.32x = 66,197,128.07
  5. Step 5: Solve for x
    x = 66,197,128.07/10,954.32
  6. Step 6: Final answer
    x = 6,043.02

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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.