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Finding the Fourth Proportional to 12,794.22, 17,660.84 and 7,490.75

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Solution

The fourth proportional to 12,794.22, 17,660.84 and 7,490.75 is: 10,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.22 : 17,660.84 = 7,490.75 : x
  2. Step 2: Convert to fraction form
    12,794.22/17,660.84 = 7,490.75/x
  3. Step 3: Cross multiply
    12,794.22x = 17,660.84 × 7,490.75
  4. Step 4: Simplify right side
    12,794.22x = 132,292,811.47
  5. Step 5: Solve for x
    x = 132,292,811.47/12,794.22
  6. Step 6: Final answer
    x = 10,340.05

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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.