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Finding the Fourth Proportional to 11,987.82, 17,989.74 and 4,196.63

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Solution

The fourth proportional to 11,987.82, 17,989.74 and 4,196.63 is: 6,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.82 : 17,989.74 = 4,196.63 : x
  2. Step 2: Convert to fraction form
    11,987.82/17,989.74 = 4,196.63/x
  3. Step 3: Cross multiply
    11,987.82x = 17,989.74 × 4,196.63
  4. Step 4: Simplify right side
    11,987.82x = 75,496,327.55
  5. Step 5: Solve for x
    x = 75,496,327.55/11,987.82
  6. Step 6: Final answer
    x = 6,297.75

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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.