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Finding the Fourth Proportional to 11,783.34, 17,682.57 and 4,857.66

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Solution

The fourth proportional to 11,783.34, 17,682.57 and 4,857.66 is: 7,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.34 : 17,682.57 = 4,857.66 : x
  2. Step 2: Convert to fraction form
    11,783.34/17,682.57 = 4,857.66/x
  3. Step 3: Cross multiply
    11,783.34x = 17,682.57 × 4,857.66
  4. Step 4: Simplify right side
    11,783.34x = 85,895,912.99
  5. Step 5: Solve for x
    x = 85,895,912.99/11,783.34
  6. Step 6: Final answer
    x = 7,289.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.