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Finding the Fourth Proportional to 6,894.62, 10,382.48 and 4,960.34

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Solution

The fourth proportional to 6,894.62, 10,382.48 and 4,960.34 is: 7,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.62 : 10,382.48 = 4,960.34 : x
  2. Step 2: Convert to fraction form
    6,894.62/10,382.48 = 4,960.34/x
  3. Step 3: Cross multiply
    6,894.62x = 10,382.48 × 4,960.34
  4. Step 4: Simplify right side
    6,894.62x = 51,500,630.84
  5. Step 5: Solve for x
    x = 51,500,630.84/6,894.62
  6. Step 6: Final answer
    x = 7,469.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.