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Finding the Fourth Proportional to 11,783.29, 17,645.53 and 8,256.76

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Solution

The fourth proportional to 11,783.29, 17,645.53 and 8,256.76 is: 12,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.29 : 17,645.53 = 8,256.76 : x
  2. Step 2: Convert to fraction form
    11,783.29/17,645.53 = 8,256.76/x
  3. Step 3: Cross multiply
    11,783.29x = 17,645.53 × 8,256.76
  4. Step 4: Simplify right side
    11,783.29x = 145,694,906.28
  5. Step 5: Solve for x
    x = 145,694,906.28/11,783.29
  6. Step 6: Final answer
    x = 12,364.54

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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.