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Finding the Fourth Proportional to 7,640.73, 11,462.04 and 2,960.82

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Solution

The fourth proportional to 7,640.73, 11,462.04 and 2,960.82 is: 4,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.73 : 11,462.04 = 2,960.82 : x
  2. Step 2: Convert to fraction form
    7,640.73/11,462.04 = 2,960.82/x
  3. Step 3: Cross multiply
    7,640.73x = 11,462.04 × 2,960.82
  4. Step 4: Simplify right side
    7,640.73x = 33,937,037.27
  5. Step 5: Solve for x
    x = 33,937,037.27/7,640.73
  6. Step 6: Final answer
    x = 4,441.60

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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.