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Finding the Fourth Proportional to 10,420.70, 14,380.56 and 5,704.97

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Solution

The fourth proportional to 10,420.70, 14,380.56 and 5,704.97 is: 7,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.70 : 14,380.56 = 5,704.97 : x
  2. Step 2: Convert to fraction form
    10,420.70/14,380.56 = 5,704.97/x
  3. Step 3: Cross multiply
    10,420.70x = 14,380.56 × 5,704.97
  4. Step 4: Simplify right side
    10,420.70x = 82,040,699.33
  5. Step 5: Solve for x
    x = 82,040,699.33/10,420.70
  6. Step 6: Final answer
    x = 7,872.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.