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Finding the Fourth Proportional to 8,489.38, 11,714.14 and 4,712.26

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Solution

The fourth proportional to 8,489.38, 11,714.14 and 4,712.26 is: 6,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.38 : 11,714.14 = 4,712.26 : x
  2. Step 2: Convert to fraction form
    8,489.38/11,714.14 = 4,712.26/x
  3. Step 3: Cross multiply
    8,489.38x = 11,714.14 × 4,712.26
  4. Step 4: Simplify right side
    8,489.38x = 55,200,073.36
  5. Step 5: Solve for x
    x = 55,200,073.36/8,489.38
  6. Step 6: Final answer
    x = 6,502.25

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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.