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Finding the Fourth Proportional to 7,696.95, 11,544.81 and 2,149.86

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Solution

The fourth proportional to 7,696.95, 11,544.81 and 2,149.86 is: 3,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.95 : 11,544.81 = 2,149.86 : x
  2. Step 2: Convert to fraction form
    7,696.95/11,544.81 = 2,149.86/x
  3. Step 3: Cross multiply
    7,696.95x = 11,544.81 × 2,149.86
  4. Step 4: Simplify right side
    7,696.95x = 24,819,725.23
  5. Step 5: Solve for x
    x = 24,819,725.23/7,696.95
  6. Step 6: Final answer
    x = 3,224.62

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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.