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Finding the Fourth Proportional to 11,842.12, 16,342.92 and 6,807.96

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Solution

The fourth proportional to 11,842.12, 16,342.92 and 6,807.96 is: 9,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.12 : 16,342.92 = 6,807.96 : x
  2. Step 2: Convert to fraction form
    11,842.12/16,342.92 = 6,807.96/x
  3. Step 3: Cross multiply
    11,842.12x = 16,342.92 × 6,807.96
  4. Step 4: Simplify right side
    11,842.12x = 111,261,945.64
  5. Step 5: Solve for x
    x = 111,261,945.64/11,842.12
  6. Step 6: Final answer
    x = 9,395.44

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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.