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Finding the Fourth Proportional to 11,365, 17,057.84 and 5,822.16

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Solution

The fourth proportional to 11,365, 17,057.84 and 5,822.16 is: 8,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365 : 17,057.84 = 5,822.16 : x
  2. Step 2: Convert to fraction form
    11,365/17,057.84 = 5,822.16/x
  3. Step 3: Cross multiply
    11,365x = 17,057.84 × 5,822.16
  4. Step 4: Simplify right side
    11,365x = 99,313,473.73
  5. Step 5: Solve for x
    x = 99,313,473.73/11,365
  6. Step 6: Final answer
    x = 8,738.54

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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.