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Finding the Fourth Proportional to 8,512.09, 12,767.40 and 2,964.49

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Solution

The fourth proportional to 8,512.09, 12,767.40 and 2,964.49 is: 4,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.09 : 12,767.40 = 2,964.49 : x
  2. Step 2: Convert to fraction form
    8,512.09/12,767.40 = 2,964.49/x
  3. Step 3: Cross multiply
    8,512.09x = 12,767.40 × 2,964.49
  4. Step 4: Simplify right side
    8,512.09x = 37,848,829.63
  5. Step 5: Solve for x
    x = 37,848,829.63/8,512.09
  6. Step 6: Final answer
    x = 4,446.48

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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.