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Finding the Fourth Proportional to 11,981.68, 17,975.16 and 3,662.34

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Solution

The fourth proportional to 11,981.68, 17,975.16 and 3,662.34 is: 5,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.68 : 17,975.16 = 3,662.34 : x
  2. Step 2: Convert to fraction form
    11,981.68/17,975.16 = 3,662.34/x
  3. Step 3: Cross multiply
    11,981.68x = 17,975.16 × 3,662.34
  4. Step 4: Simplify right side
    11,981.68x = 65,831,147.47
  5. Step 5: Solve for x
    x = 65,831,147.47/11,981.68
  6. Step 6: Final answer
    x = 5,494.32

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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.