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Finding the Fourth Proportional to 12,410.68, 17,126.76 and 6,745.38

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Solution

The fourth proportional to 12,410.68, 17,126.76 and 6,745.38 is: 9,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.68 : 17,126.76 = 6,745.38 : x
  2. Step 2: Convert to fraction form
    12,410.68/17,126.76 = 6,745.38/x
  3. Step 3: Cross multiply
    12,410.68x = 17,126.76 × 6,745.38
  4. Step 4: Simplify right side
    12,410.68x = 115,526,504.37
  5. Step 5: Solve for x
    x = 115,526,504.37/12,410.68
  6. Step 6: Final answer
    x = 9,308.64

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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.