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Finding the Fourth Proportional to 11,693.01, 17,540.96 and 3,900.09

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Solution

The fourth proportional to 11,693.01, 17,540.96 and 3,900.09 is: 5,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.01 : 17,540.96 = 3,900.09 : x
  2. Step 2: Convert to fraction form
    11,693.01/17,540.96 = 3,900.09/x
  3. Step 3: Cross multiply
    11,693.01x = 17,540.96 × 3,900.09
  4. Step 4: Simplify right side
    11,693.01x = 68,411,303.19
  5. Step 5: Solve for x
    x = 68,411,303.19/11,693.01
  6. Step 6: Final answer
    x = 5,850.62

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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.