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Finding the Fourth Proportional to 10,980.40, 16,470.60 and 8,042.80

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Solution

The fourth proportional to 10,980.40, 16,470.60 and 8,042.80 is: 12,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.40 : 16,470.60 = 8,042.80 : x
  2. Step 2: Convert to fraction form
    10,980.40/16,470.60 = 8,042.80/x
  3. Step 3: Cross multiply
    10,980.40x = 16,470.60 × 8,042.80
  4. Step 4: Simplify right side
    10,980.40x = 132,469,741.68
  5. Step 5: Solve for x
    x = 132,469,741.68/10,980.40
  6. Step 6: Final answer
    x = 12,064.20

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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.