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Finding the Fourth Proportional to 11,531.44, 17,297.16 and 3,323.44

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Solution

The fourth proportional to 11,531.44, 17,297.16 and 3,323.44 is: 4,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.44 : 17,297.16 = 3,323.44 : x
  2. Step 2: Convert to fraction form
    11,531.44/17,297.16 = 3,323.44/x
  3. Step 3: Cross multiply
    11,531.44x = 17,297.16 × 3,323.44
  4. Step 4: Simplify right side
    11,531.44x = 57,486,017.72
  5. Step 5: Solve for x
    x = 57,486,017.72/11,531.44
  6. Step 6: Final answer
    x = 4,985.16

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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.