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Finding the Fourth Proportional to 7,763.49, 11,640.96 and 3,078.75

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Solution

The fourth proportional to 7,763.49, 11,640.96 and 3,078.75 is: 4,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.49 : 11,640.96 = 3,078.75 : x
  2. Step 2: Convert to fraction form
    7,763.49/11,640.96 = 3,078.75/x
  3. Step 3: Cross multiply
    7,763.49x = 11,640.96 × 3,078.75
  4. Step 4: Simplify right side
    7,763.49x = 35,839,605.60
  5. Step 5: Solve for x
    x = 35,839,605.60/7,763.49
  6. Step 6: Final answer
    x = 4,616.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.