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Finding the Fourth Proportional to 10,602.92, 15,906.14 and 3,675.80

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Solution

The fourth proportional to 10,602.92, 15,906.14 and 3,675.80 is: 5,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.92 : 15,906.14 = 3,675.80 : x
  2. Step 2: Convert to fraction form
    10,602.92/15,906.14 = 3,675.80/x
  3. Step 3: Cross multiply
    10,602.92x = 15,906.14 × 3,675.80
  4. Step 4: Simplify right side
    10,602.92x = 58,467,789.41
  5. Step 5: Solve for x
    x = 58,467,789.41/10,602.92
  6. Step 6: Final answer
    x = 5,514.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.