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Finding the Fourth Proportional to 10,817.60, 16,204.80 and 6,195.20

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Solution

The fourth proportional to 10,817.60, 16,204.80 and 6,195.20 is: 9,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.60 : 16,204.80 = 6,195.20 : x
  2. Step 2: Convert to fraction form
    10,817.60/16,204.80 = 6,195.20/x
  3. Step 3: Cross multiply
    10,817.60x = 16,204.80 × 6,195.20
  4. Step 4: Simplify right side
    10,817.60x = 100,391,976.96
  5. Step 5: Solve for x
    x = 100,391,976.96/10,817.60
  6. Step 6: Final answer
    x = 9,280.43

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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.