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Finding the Fourth Proportional to 11,274.06, 16,891.92 and 7,971

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Solution

The fourth proportional to 11,274.06, 16,891.92 and 7,971 is: 11,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.06 : 16,891.92 = 7,971 : x
  2. Step 2: Convert to fraction form
    11,274.06/16,891.92 = 7,971/x
  3. Step 3: Cross multiply
    11,274.06x = 16,891.92 × 7,971
  4. Step 4: Simplify right side
    11,274.06x = 134,645,494.32
  5. Step 5: Solve for x
    x = 134,645,494.32/11,274.06
  6. Step 6: Final answer
    x = 11,942.95

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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.