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Finding the Fourth Proportional to 7,214.44, 10,821 and 2,284

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Solution

The fourth proportional to 7,214.44, 10,821 and 2,284 is: 3,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.44 : 10,821 = 2,284 : x
  2. Step 2: Convert to fraction form
    7,214.44/10,821 = 2,284/x
  3. Step 3: Cross multiply
    7,214.44x = 10,821 × 2,284
  4. Step 4: Simplify right side
    7,214.44x = 24,715,164
  5. Step 5: Solve for x
    x = 24,715,164/7,214.44
  6. Step 6: Final answer
    x = 3,425.79

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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.