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Finding the Fourth Proportional to 8,512.98, 12,769.61 and 2,669.64

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Solution

The fourth proportional to 8,512.98, 12,769.61 and 2,669.64 is: 4,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.98 : 12,769.61 = 2,669.64 : x
  2. Step 2: Convert to fraction form
    8,512.98/12,769.61 = 2,669.64/x
  3. Step 3: Cross multiply
    8,512.98x = 12,769.61 × 2,669.64
  4. Step 4: Simplify right side
    8,512.98x = 34,090,248.29
  5. Step 5: Solve for x
    x = 34,090,248.29/8,512.98
  6. Step 6: Final answer
    x = 4,004.50

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Why These Related Problems?

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