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Finding the Fourth Proportional to 11,662.35, 17,498.68 and 6,114.37

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Solution

The fourth proportional to 11,662.35, 17,498.68 and 6,114.37 is: 9,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.35 : 17,498.68 = 6,114.37 : x
  2. Step 2: Convert to fraction form
    11,662.35/17,498.68 = 6,114.37/x
  3. Step 3: Cross multiply
    11,662.35x = 17,498.68 × 6,114.37
  4. Step 4: Simplify right side
    11,662.35x = 106,993,404.03
  5. Step 5: Solve for x
    x = 106,993,404.03/11,662.35
  6. Step 6: Final answer
    x = 9,174.26

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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.