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Finding the Fourth Proportional to 11,883.44, 17,817.60 and 6,032

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Solution

The fourth proportional to 11,883.44, 17,817.60 and 6,032 is: 9,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.44 : 17,817.60 = 6,032 : x
  2. Step 2: Convert to fraction form
    11,883.44/17,817.60 = 6,032/x
  3. Step 3: Cross multiply
    11,883.44x = 17,817.60 × 6,032
  4. Step 4: Simplify right side
    11,883.44x = 107,475,763.20
  5. Step 5: Solve for x
    x = 107,475,763.20/11,883.44
  6. Step 6: Final answer
    x = 9,044.16

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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.