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Finding the Fourth Proportional to 11,523.11, 17,290.31 and 4,128.14

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Solution

The fourth proportional to 11,523.11, 17,290.31 and 4,128.14 is: 6,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.11 : 17,290.31 = 4,128.14 : x
  2. Step 2: Convert to fraction form
    11,523.11/17,290.31 = 4,128.14/x
  3. Step 3: Cross multiply
    11,523.11x = 17,290.31 × 4,128.14
  4. Step 4: Simplify right side
    11,523.11x = 71,376,820.32
  5. Step 5: Solve for x
    x = 71,376,820.32/11,523.11
  6. Step 6: Final answer
    x = 6,194.23

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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.