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Finding the Fourth Proportional to 10,694.26, 16,028.03 and 5,146.12

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Solution

The fourth proportional to 10,694.26, 16,028.03 and 5,146.12 is: 7,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.26 : 16,028.03 = 5,146.12 : x
  2. Step 2: Convert to fraction form
    10,694.26/16,028.03 = 5,146.12/x
  3. Step 3: Cross multiply
    10,694.26x = 16,028.03 × 5,146.12
  4. Step 4: Simplify right side
    10,694.26x = 82,482,079.54
  5. Step 5: Solve for x
    x = 82,482,079.54/10,694.26
  6. Step 6: Final answer
    x = 7,712.74

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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.