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Finding the Fourth Proportional to 8,523.92, 11,764.32 and 5,167.28

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Solution

The fourth proportional to 8,523.92, 11,764.32 and 5,167.28 is: 7,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.92 : 11,764.32 = 5,167.28 : x
  2. Step 2: Convert to fraction form
    8,523.92/11,764.32 = 5,167.28/x
  3. Step 3: Cross multiply
    8,523.92x = 11,764.32 × 5,167.28
  4. Step 4: Simplify right side
    8,523.92x = 60,789,545.48
  5. Step 5: Solve for x
    x = 60,789,545.48/8,523.92
  6. Step 6: Final answer
    x = 7,131.64

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1.5x scale

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.