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Finding the Fourth Proportional to 8,748.38, 12,072.74 and 4,769.49

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Solution

The fourth proportional to 8,748.38, 12,072.74 and 4,769.49 is: 6,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,748.38 : 12,072.74 = 4,769.49 : x
  2. Step 2: Convert to fraction form
    8,748.38/12,072.74 = 4,769.49/x
  3. Step 3: Cross multiply
    8,748.38x = 12,072.74 × 4,769.49
  4. Step 4: Simplify right side
    8,748.38x = 57,580,812.70
  5. Step 5: Solve for x
    x = 57,580,812.70/8,748.38
  6. Step 6: Final answer
    x = 6,581.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.