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Finding the Fourth Proportional to 8,256, 11,393.28 and 4,530.24

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Solution

The fourth proportional to 8,256, 11,393.28 and 4,530.24 is: 6,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256 : 11,393.28 = 4,530.24 : x
  2. Step 2: Convert to fraction form
    8,256/11,393.28 = 4,530.24/x
  3. Step 3: Cross multiply
    8,256x = 11,393.28 × 4,530.24
  4. Step 4: Simplify right side
    8,256x = 51,614,292.79
  5. Step 5: Solve for x
    x = 51,614,292.79/8,256
  6. Step 6: Final answer
    x = 6,251.73

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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.