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Finding the Fourth Proportional to 11,600.85, 17,387.24 and 5,352.33

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Solution

The fourth proportional to 11,600.85, 17,387.24 and 5,352.33 is: 8,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.85 : 17,387.24 = 5,352.33 : x
  2. Step 2: Convert to fraction form
    11,600.85/17,387.24 = 5,352.33/x
  3. Step 3: Cross multiply
    11,600.85x = 17,387.24 × 5,352.33
  4. Step 4: Simplify right side
    11,600.85x = 93,062,219.51
  5. Step 5: Solve for x
    x = 93,062,219.51/11,600.85
  6. Step 6: Final answer
    x = 8,022.02

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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.