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Finding the Fourth Proportional to 11,615.58, 17,428.23 and 3,825.18

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Solution

The fourth proportional to 11,615.58, 17,428.23 and 3,825.18 is: 5,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.58 : 17,428.23 = 3,825.18 : x
  2. Step 2: Convert to fraction form
    11,615.58/17,428.23 = 3,825.18/x
  3. Step 3: Cross multiply
    11,615.58x = 17,428.23 × 3,825.18
  4. Step 4: Simplify right side
    11,615.58x = 66,666,116.83
  5. Step 5: Solve for x
    x = 66,666,116.83/11,615.58
  6. Step 6: Final answer
    x = 5,739.37

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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.