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Finding the Fourth Proportional to 13,105.78, 18,085.56 and 7,137.38

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Solution

The fourth proportional to 13,105.78, 18,085.56 and 7,137.38 is: 9,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.78 : 18,085.56 = 7,137.38 : x
  2. Step 2: Convert to fraction form
    13,105.78/18,085.56 = 7,137.38/x
  3. Step 3: Cross multiply
    13,105.78x = 18,085.56 × 7,137.38
  4. Step 4: Simplify right side
    13,105.78x = 129,083,514.23
  5. Step 5: Solve for x
    x = 129,083,514.23/13,105.78
  6. Step 6: Final answer
    x = 9,849.36

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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.