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Finding the Fourth Proportional to 7,960.57, 11,931.03 and 3,277.65

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Solution

The fourth proportional to 7,960.57, 11,931.03 and 3,277.65 is: 4,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.57 : 11,931.03 = 3,277.65 : x
  2. Step 2: Convert to fraction form
    7,960.57/11,931.03 = 3,277.65/x
  3. Step 3: Cross multiply
    7,960.57x = 11,931.03 × 3,277.65
  4. Step 4: Simplify right side
    7,960.57x = 39,105,785.22
  5. Step 5: Solve for x
    x = 39,105,785.22/7,960.57
  6. Step 6: Final answer
    x = 4,912.44

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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.