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Finding the Fourth Proportional to 8,517.81, 11,755.23 and 4,741.29

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Solution

The fourth proportional to 8,517.81, 11,755.23 and 4,741.29 is: 6,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.81 : 11,755.23 = 4,741.29 : x
  2. Step 2: Convert to fraction form
    8,517.81/11,755.23 = 4,741.29/x
  3. Step 3: Cross multiply
    8,517.81x = 11,755.23 × 4,741.29
  4. Step 4: Simplify right side
    8,517.81x = 55,734,954.45
  5. Step 5: Solve for x
    x = 55,734,954.45/8,517.81
  6. Step 6: Final answer
    x = 6,543.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.