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Finding the Fourth Proportional to 11,458.04, 17,183.40 and 3,665

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Solution

The fourth proportional to 11,458.04, 17,183.40 and 3,665 is: 5,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.04 : 17,183.40 = 3,665 : x
  2. Step 2: Convert to fraction form
    11,458.04/17,183.40 = 3,665/x
  3. Step 3: Cross multiply
    11,458.04x = 17,183.40 × 3,665
  4. Step 4: Simplify right side
    11,458.04x = 62,977,161.00
  5. Step 5: Solve for x
    x = 62,977,161.00/11,458.04
  6. Step 6: Final answer
    x = 5,496.33

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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.