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Finding the Fourth Proportional to 11,602.82, 17,398.56 and 3,809

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Solution

The fourth proportional to 11,602.82, 17,398.56 and 3,809 is: 5,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.82 : 17,398.56 = 3,809 : x
  2. Step 2: Convert to fraction form
    11,602.82/17,398.56 = 3,809/x
  3. Step 3: Cross multiply
    11,602.82x = 17,398.56 × 3,809
  4. Step 4: Simplify right side
    11,602.82x = 66,271,115.04
  5. Step 5: Solve for x
    x = 66,271,115.04/11,602.82
  6. Step 6: Final answer
    x = 5,711.64

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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.