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Finding the Fourth Proportional to 7,661.97, 11,493.36 and 3,275.01

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Solution

The fourth proportional to 7,661.97, 11,493.36 and 3,275.01 is: 4,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.97 : 11,493.36 = 3,275.01 : x
  2. Step 2: Convert to fraction form
    7,661.97/11,493.36 = 3,275.01/x
  3. Step 3: Cross multiply
    7,661.97x = 11,493.36 × 3,275.01
  4. Step 4: Simplify right side
    7,661.97x = 37,640,868.93
  5. Step 5: Solve for x
    x = 37,640,868.93/7,661.97
  6. Step 6: Final answer
    x = 4,912.69

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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.