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Finding the Fourth Proportional to 7,677.21, 11,517.12 and 2,411.21

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Solution

The fourth proportional to 7,677.21, 11,517.12 and 2,411.21 is: 3,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.21 : 11,517.12 = 2,411.21 : x
  2. Step 2: Convert to fraction form
    7,677.21/11,517.12 = 2,411.21/x
  3. Step 3: Cross multiply
    7,677.21x = 11,517.12 × 2,411.21
  4. Step 4: Simplify right side
    7,677.21x = 27,770,194.92
  5. Step 5: Solve for x
    x = 27,770,194.92/7,677.21
  6. Step 6: Final answer
    x = 3,617.22

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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.