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Finding the Fourth Proportional to 8,034.47, 12,052.47 and 2,769.27

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Solution

The fourth proportional to 8,034.47, 12,052.47 and 2,769.27 is: 4,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.47 : 12,052.47 = 2,769.27 : x
  2. Step 2: Convert to fraction form
    8,034.47/12,052.47 = 2,769.27/x
  3. Step 3: Cross multiply
    8,034.47x = 12,052.47 × 2,769.27
  4. Step 4: Simplify right side
    8,034.47x = 33,376,543.60
  5. Step 5: Solve for x
    x = 33,376,543.60/8,034.47
  6. Step 6: Final answer
    x = 4,154.17

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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.