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Finding the Fourth Proportional to 10,961.40, 16,442.10 and 3,170.22

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Solution

The fourth proportional to 10,961.40, 16,442.10 and 3,170.22 is: 4,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.40 : 16,442.10 = 3,170.22 : x
  2. Step 2: Convert to fraction form
    10,961.40/16,442.10 = 3,170.22/x
  3. Step 3: Cross multiply
    10,961.40x = 16,442.10 × 3,170.22
  4. Step 4: Simplify right side
    10,961.40x = 52,125,074.26
  5. Step 5: Solve for x
    x = 52,125,074.26/10,961.40
  6. Step 6: Final answer
    x = 4,755.33

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