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Finding the Fourth Proportional to 7,844.67, 10,825.20 and 4,487.31

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Solution

The fourth proportional to 7,844.67, 10,825.20 and 4,487.31 is: 6,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.67 : 10,825.20 = 4,487.31 : x
  2. Step 2: Convert to fraction form
    7,844.67/10,825.20 = 4,487.31/x
  3. Step 3: Cross multiply
    7,844.67x = 10,825.20 × 4,487.31
  4. Step 4: Simplify right side
    7,844.67x = 48,576,028.21
  5. Step 5: Solve for x
    x = 48,576,028.21/7,844.67
  6. Step 6: Final answer
    x = 6,192.23

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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.