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Finding the Fourth Proportional to 11,657.12, 16,091.64 and 8,300.48

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Solution

The fourth proportional to 11,657.12, 16,091.64 and 8,300.48 is: 11,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.12 : 16,091.64 = 8,300.48 : x
  2. Step 2: Convert to fraction form
    11,657.12/16,091.64 = 8,300.48/x
  3. Step 3: Cross multiply
    11,657.12x = 16,091.64 × 8,300.48
  4. Step 4: Simplify right side
    11,657.12x = 133,568,335.99
  5. Step 5: Solve for x
    x = 133,568,335.99/11,657.12
  6. Step 6: Final answer
    x = 11,458.09

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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.