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Finding the Fourth Proportional to 11,523.48, 17,283.14 and 3,201.42

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Solution

The fourth proportional to 11,523.48, 17,283.14 and 3,201.42 is: 4,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.48 : 17,283.14 = 3,201.42 : x
  2. Step 2: Convert to fraction form
    11,523.48/17,283.14 = 3,201.42/x
  3. Step 3: Cross multiply
    11,523.48x = 17,283.14 × 3,201.42
  4. Step 4: Simplify right side
    11,523.48x = 55,330,590.06
  5. Step 5: Solve for x
    x = 55,330,590.06/11,523.48
  6. Step 6: Final answer
    x = 4,801.55

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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.