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Finding the Fourth Proportional to 11,785.93, 16,264.64 and 6,481.09

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Solution

The fourth proportional to 11,785.93, 16,264.64 and 6,481.09 is: 8,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.93 : 16,264.64 = 6,481.09 : x
  2. Step 2: Convert to fraction form
    11,785.93/16,264.64 = 6,481.09/x
  3. Step 3: Cross multiply
    11,785.93x = 16,264.64 × 6,481.09
  4. Step 4: Simplify right side
    11,785.93x = 105,412,481.93
  5. Step 5: Solve for x
    x = 105,412,481.93/11,785.93
  6. Step 6: Final answer
    x = 8,943.93

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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.