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Finding the Fourth Proportional to 11,251.75, 15,522.25 and 7,274.14

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Solution

The fourth proportional to 11,251.75, 15,522.25 and 7,274.14 is: 10,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.75 : 15,522.25 = 7,274.14 : x
  2. Step 2: Convert to fraction form
    11,251.75/15,522.25 = 7,274.14/x
  3. Step 3: Cross multiply
    11,251.75x = 15,522.25 × 7,274.14
  4. Step 4: Simplify right side
    11,251.75x = 112,911,019.62
  5. Step 5: Solve for x
    x = 112,911,019.62/11,251.75
  6. Step 6: Final answer
    x = 10,034.97

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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.