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Finding the Fourth Proportional to 7,817.34, 10,787.85 and 4,280.34

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Solution

The fourth proportional to 7,817.34, 10,787.85 and 4,280.34 is: 5,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.34 : 10,787.85 = 4,280.34 : x
  2. Step 2: Convert to fraction form
    7,817.34/10,787.85 = 4,280.34/x
  3. Step 3: Cross multiply
    7,817.34x = 10,787.85 × 4,280.34
  4. Step 4: Simplify right side
    7,817.34x = 46,175,665.87
  5. Step 5: Solve for x
    x = 46,175,665.87/7,817.34
  6. Step 6: Final answer
    x = 5,906.83

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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.