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Finding the Fourth Proportional to 7,207, 10,806.96 and 2,823.28

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Solution

The fourth proportional to 7,207, 10,806.96 and 2,823.28 is: 4,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207 : 10,806.96 = 2,823.28 : x
  2. Step 2: Convert to fraction form
    7,207/10,806.96 = 2,823.28/x
  3. Step 3: Cross multiply
    7,207x = 10,806.96 × 2,823.28
  4. Step 4: Simplify right side
    7,207x = 30,511,074.03
  5. Step 5: Solve for x
    x = 30,511,074.03/7,207
  6. Step 6: Final answer
    x = 4,233.53

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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.