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Finding the Fourth Proportional to 11,842.56, 16,339.74 and 6,808.20

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Solution

The fourth proportional to 11,842.56, 16,339.74 and 6,808.20 is: 9,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.56 : 16,339.74 = 6,808.20 : x
  2. Step 2: Convert to fraction form
    11,842.56/16,339.74 = 6,808.20/x
  3. Step 3: Cross multiply
    11,842.56x = 16,339.74 × 6,808.20
  4. Step 4: Simplify right side
    11,842.56x = 111,244,217.87
  5. Step 5: Solve for x
    x = 111,244,217.87/11,842.56
  6. Step 6: Final answer
    x = 9,393.60

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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.