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Finding the Fourth Proportional to 8,446.80, 11,842.80 and 8,446.80

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Solution

The fourth proportional to 8,446.80, 11,842.80 and 8,446.80 is: 11,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.80 : 11,842.80 = 8,446.80 : x
  2. Step 2: Convert to fraction form
    8,446.80/11,842.80 = 8,446.80/x
  3. Step 3: Cross multiply
    8,446.80x = 11,842.80 × 8,446.80
  4. Step 4: Simplify right side
    8,446.80x = 100,033,763.04
  5. Step 5: Solve for x
    x = 100,033,763.04/8,446.80
  6. Step 6: Final answer
    x = 11,842.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.