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Finding the Fourth Proportional to 8,344.82, 11,517.12 and 4,759.76

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Solution

The fourth proportional to 8,344.82, 11,517.12 and 4,759.76 is: 6,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.82 : 11,517.12 = 4,759.76 : x
  2. Step 2: Convert to fraction form
    8,344.82/11,517.12 = 4,759.76/x
  3. Step 3: Cross multiply
    8,344.82x = 11,517.12 × 4,759.76
  4. Step 4: Simplify right side
    8,344.82x = 54,818,755.88
  5. Step 5: Solve for x
    x = 54,818,755.88/8,344.82
  6. Step 6: Final answer
    x = 6,569.19

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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.