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Finding the Fourth Proportional to 12,760.41, 17,603.67 and 8,507.34

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Solution

The fourth proportional to 12,760.41, 17,603.67 and 8,507.34 is: 11,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.41 : 17,603.67 = 8,507.34 : x
  2. Step 2: Convert to fraction form
    12,760.41/17,603.67 = 8,507.34/x
  3. Step 3: Cross multiply
    12,760.41x = 17,603.67 × 8,507.34
  4. Step 4: Simplify right side
    12,760.41x = 149,760,405.94
  5. Step 5: Solve for x
    x = 149,760,405.94/12,760.41
  6. Step 6: Final answer
    x = 11,736.33

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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.