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Finding the Fourth Proportional to 8,282, 11,429.16 and 4,556.24

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Solution

The fourth proportional to 8,282, 11,429.16 and 4,556.24 is: 6,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282 : 11,429.16 = 4,556.24 : x
  2. Step 2: Convert to fraction form
    8,282/11,429.16 = 4,556.24/x
  3. Step 3: Cross multiply
    8,282x = 11,429.16 × 4,556.24
  4. Step 4: Simplify right side
    8,282x = 52,073,995.96
  5. Step 5: Solve for x
    x = 52,073,995.96/8,282
  6. Step 6: Final answer
    x = 6,287.61

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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.