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Finding the Fourth Proportional to 10,906.40, 16,359.60 and 9,270.20

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Solution

The fourth proportional to 10,906.40, 16,359.60 and 9,270.20 is: 13,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.40 : 16,359.60 = 9,270.20 : x
  2. Step 2: Convert to fraction form
    10,906.40/16,359.60 = 9,270.20/x
  3. Step 3: Cross multiply
    10,906.40x = 16,359.60 × 9,270.20
  4. Step 4: Simplify right side
    10,906.40x = 151,656,763.92
  5. Step 5: Solve for x
    x = 151,656,763.92/10,906.40
  6. Step 6: Final answer
    x = 13,905.30

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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.