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Finding the Fourth Proportional to 7,825.47, 10,796.99 and 4,467.07

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Solution

The fourth proportional to 7,825.47, 10,796.99 and 4,467.07 is: 6,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.47 : 10,796.99 = 4,467.07 : x
  2. Step 2: Convert to fraction form
    7,825.47/10,796.99 = 4,467.07/x
  3. Step 3: Cross multiply
    7,825.47x = 10,796.99 × 4,467.07
  4. Step 4: Simplify right side
    7,825.47x = 48,230,910.12
  5. Step 5: Solve for x
    x = 48,230,910.12/7,825.47
  6. Step 6: Final answer
    x = 6,163.32

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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.