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Finding the Fourth Proportional to 8,523.74, 12,769.52 and 4,366.38

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Solution

The fourth proportional to 8,523.74, 12,769.52 and 4,366.38 is: 6,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.74 : 12,769.52 = 4,366.38 : x
  2. Step 2: Convert to fraction form
    8,523.74/12,769.52 = 4,366.38/x
  3. Step 3: Cross multiply
    8,523.74x = 12,769.52 × 4,366.38
  4. Step 4: Simplify right side
    8,523.74x = 55,756,576.74
  5. Step 5: Solve for x
    x = 55,756,576.74/8,523.74
  6. Step 6: Final answer
    x = 6,541.33

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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.