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Finding the Fourth Proportional to 11,843.58, 16,345.24 and 8,263.74

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Solution

The fourth proportional to 11,843.58, 16,345.24 and 8,263.74 is: 11,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.58 : 16,345.24 = 8,263.74 : x
  2. Step 2: Convert to fraction form
    11,843.58/16,345.24 = 8,263.74/x
  3. Step 3: Cross multiply
    11,843.58x = 16,345.24 × 8,263.74
  4. Step 4: Simplify right side
    11,843.58x = 135,072,813.60
  5. Step 5: Solve for x
    x = 135,072,813.60/11,843.58
  6. Step 6: Final answer
    x = 11,404.73

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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.