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Finding the Fourth Proportional to 11,846.44, 16,342.95 and 6,809.50

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Solution

The fourth proportional to 11,846.44, 16,342.95 and 6,809.50 is: 9,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.44 : 16,342.95 = 6,809.50 : x
  2. Step 2: Convert to fraction form
    11,846.44/16,342.95 = 6,809.50/x
  3. Step 3: Cross multiply
    11,846.44x = 16,342.95 × 6,809.50
  4. Step 4: Simplify right side
    11,846.44x = 111,287,318.03
  5. Step 5: Solve for x
    x = 111,287,318.03/11,846.44
  6. Step 6: Final answer
    x = 9,394.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.