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Finding the Fourth Proportional to 12,696.37, 17,525.69 and 7,660.80

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Solution

The fourth proportional to 12,696.37, 17,525.69 and 7,660.80 is: 10,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.37 : 17,525.69 = 7,660.80 : x
  2. Step 2: Convert to fraction form
    12,696.37/17,525.69 = 7,660.80/x
  3. Step 3: Cross multiply
    12,696.37x = 17,525.69 × 7,660.80
  4. Step 4: Simplify right side
    12,696.37x = 134,260,796.38
  5. Step 5: Solve for x
    x = 134,260,796.38/12,696.37
  6. Step 6: Final answer
    x = 10,574.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.