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Finding the Fourth Proportional to 10,420.20, 14,380.20 and 5,704.92

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Solution

The fourth proportional to 10,420.20, 14,380.20 and 5,704.92 is: 7,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.20 : 14,380.20 = 5,704.92 : x
  2. Step 2: Convert to fraction form
    10,420.20/14,380.20 = 5,704.92/x
  3. Step 3: Cross multiply
    10,420.20x = 14,380.20 × 5,704.92
  4. Step 4: Simplify right side
    10,420.20x = 82,037,890.58
  5. Step 5: Solve for x
    x = 82,037,890.58/10,420.20
  6. Step 6: Final answer
    x = 7,872.97

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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.