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Finding the Fourth Proportional to 11,783.97, 16,259.76 and 8,647.65

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Solution

The fourth proportional to 11,783.97, 16,259.76 and 8,647.65 is: 11,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.97 : 16,259.76 = 8,647.65 : x
  2. Step 2: Convert to fraction form
    11,783.97/16,259.76 = 8,647.65/x
  3. Step 3: Cross multiply
    11,783.97x = 16,259.76 × 8,647.65
  4. Step 4: Simplify right side
    11,783.97x = 140,608,713.56
  5. Step 5: Solve for x
    x = 140,608,713.56/11,783.97
  6. Step 6: Final answer
    x = 11,932.20

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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.