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Finding the Fourth Proportional to 10,961.03, 16,442.45 and 3,565.33

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Solution

The fourth proportional to 10,961.03, 16,442.45 and 3,565.33 is: 5,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.03 : 16,442.45 = 3,565.33 : x
  2. Step 2: Convert to fraction form
    10,961.03/16,442.45 = 3,565.33/x
  3. Step 3: Cross multiply
    10,961.03x = 16,442.45 × 3,565.33
  4. Step 4: Simplify right side
    10,961.03x = 58,622,760.26
  5. Step 5: Solve for x
    x = 58,622,760.26/10,961.03
  6. Step 6: Final answer
    x = 5,348.29

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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.