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Finding the Fourth Proportional to 8,269.81, 11,412.41 and 4,493.04

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Solution

The fourth proportional to 8,269.81, 11,412.41 and 4,493.04 is: 6,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.81 : 11,412.41 = 4,493.04 : x
  2. Step 2: Convert to fraction form
    8,269.81/11,412.41 = 4,493.04/x
  3. Step 3: Cross multiply
    8,269.81x = 11,412.41 × 4,493.04
  4. Step 4: Simplify right side
    8,269.81x = 51,276,414.63
  5. Step 5: Solve for x
    x = 51,276,414.63/8,269.81
  6. Step 6: Final answer
    x = 6,200.43

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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.