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Finding the Fourth Proportional to 11,843.59, 16,344.56 and 6,808.86

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Solution

The fourth proportional to 11,843.59, 16,344.56 and 6,808.86 is: 9,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.59 : 16,344.56 = 6,808.86 : x
  2. Step 2: Convert to fraction form
    11,843.59/16,344.56 = 6,808.86/x
  3. Step 3: Cross multiply
    11,843.59x = 16,344.56 × 6,808.86
  4. Step 4: Simplify right side
    11,843.59x = 111,287,818.67
  5. Step 5: Solve for x
    x = 111,287,818.67/11,843.59
  6. Step 6: Final answer
    x = 9,396.46

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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.