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Finding the Fourth Proportional to 11,787.67, 17,677.05 and 5,940.28

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Solution

The fourth proportional to 11,787.67, 17,677.05 and 5,940.28 is: 8,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.67 : 17,677.05 = 5,940.28 : x
  2. Step 2: Convert to fraction form
    11,787.67/17,677.05 = 5,940.28/x
  3. Step 3: Cross multiply
    11,787.67x = 17,677.05 × 5,940.28
  4. Step 4: Simplify right side
    11,787.67x = 105,006,626.57
  5. Step 5: Solve for x
    x = 105,006,626.57/11,787.67
  6. Step 6: Final answer
    x = 8,908.17

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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.