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Finding the Fourth Proportional to 7,224.89, 10,828.26 and 3,884.94

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Solution

The fourth proportional to 7,224.89, 10,828.26 and 3,884.94 is: 5,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.89 : 10,828.26 = 3,884.94 : x
  2. Step 2: Convert to fraction form
    7,224.89/10,828.26 = 3,884.94/x
  3. Step 3: Cross multiply
    7,224.89x = 10,828.26 × 3,884.94
  4. Step 4: Simplify right side
    7,224.89x = 42,067,140.40
  5. Step 5: Solve for x
    x = 42,067,140.40/7,224.89
  6. Step 6: Final answer
    x = 5,822.53

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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.