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Finding the Fourth Proportional to 6,817.48, 10,220.70 and 2,432.20

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Solution

The fourth proportional to 6,817.48, 10,220.70 and 2,432.20 is: 3,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.48 : 10,220.70 = 2,432.20 : x
  2. Step 2: Convert to fraction form
    6,817.48/10,220.70 = 2,432.20/x
  3. Step 3: Cross multiply
    6,817.48x = 10,220.70 × 2,432.20
  4. Step 4: Simplify right side
    6,817.48x = 24,858,786.54
  5. Step 5: Solve for x
    x = 24,858,786.54/6,817.48
  6. Step 6: Final answer
    x = 3,646.33

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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.