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Finding the Fourth Proportional to 11,598.36, 17,396.68 and 4,201.44

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Solution

The fourth proportional to 11,598.36, 17,396.68 and 4,201.44 is: 6,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.36 : 17,396.68 = 4,201.44 : x
  2. Step 2: Convert to fraction form
    11,598.36/17,396.68 = 4,201.44/x
  3. Step 3: Cross multiply
    11,598.36x = 17,396.68 × 4,201.44
  4. Step 4: Simplify right side
    11,598.36x = 73,091,107.22
  5. Step 5: Solve for x
    x = 73,091,107.22/11,598.36
  6. Step 6: Final answer
    x = 6,301.85

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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.