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Finding the Fourth Proportional to 12,512.72, 18,769.08 and 3,278

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Solution

The fourth proportional to 12,512.72, 18,769.08 and 3,278 is: 4,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.72 : 18,769.08 = 3,278 : x
  2. Step 2: Convert to fraction form
    12,512.72/18,769.08 = 3,278/x
  3. Step 3: Cross multiply
    12,512.72x = 18,769.08 × 3,278
  4. Step 4: Simplify right side
    12,512.72x = 61,525,044.24
  5. Step 5: Solve for x
    x = 61,525,044.24/12,512.72
  6. Step 6: Final answer
    x = 4,917

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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.