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Finding the Fourth Proportional to 10,908.80, 16,346.40 and 8,122.40

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Solution

The fourth proportional to 10,908.80, 16,346.40 and 8,122.40 is: 12,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.80 : 16,346.40 = 8,122.40 : x
  2. Step 2: Convert to fraction form
    10,908.80/16,346.40 = 8,122.40/x
  3. Step 3: Cross multiply
    10,908.80x = 16,346.40 × 8,122.40
  4. Step 4: Simplify right side
    10,908.80x = 132,771,999.36
  5. Step 5: Solve for x
    x = 132,771,999.36/10,908.80
  6. Step 6: Final answer
    x = 12,171.09

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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.