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Finding the Fourth Proportional to 10,910.72, 16,355.92 and 3,980

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Solution

The fourth proportional to 10,910.72, 16,355.92 and 3,980 is: 5,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.72 : 16,355.92 = 3,980 : x
  2. Step 2: Convert to fraction form
    10,910.72/16,355.92 = 3,980/x
  3. Step 3: Cross multiply
    10,910.72x = 16,355.92 × 3,980
  4. Step 4: Simplify right side
    10,910.72x = 65,096,561.60
  5. Step 5: Solve for x
    x = 65,096,561.60/10,910.72
  6. Step 6: Final answer
    x = 5,966.29

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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.