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Finding the Fourth Proportional to 8,757.38, 12,098.36 and 5,739.68

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Solution

The fourth proportional to 8,757.38, 12,098.36 and 5,739.68 is: 7,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.38 : 12,098.36 = 5,739.68 : x
  2. Step 2: Convert to fraction form
    8,757.38/12,098.36 = 5,739.68/x
  3. Step 3: Cross multiply
    8,757.38x = 12,098.36 × 5,739.68
  4. Step 4: Simplify right side
    8,757.38x = 69,440,714.92
  5. Step 5: Solve for x
    x = 69,440,714.92/8,757.38
  6. Step 6: Final answer
    x = 7,929.39

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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.