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Finding the Fourth Proportional to 8,489.16, 11,714.82 and 4,712.21

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Solution

The fourth proportional to 8,489.16, 11,714.82 and 4,712.21 is: 6,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.16 : 11,714.82 = 4,712.21 : x
  2. Step 2: Convert to fraction form
    8,489.16/11,714.82 = 4,712.21/x
  3. Step 3: Cross multiply
    8,489.16x = 11,714.82 × 4,712.21
  4. Step 4: Simplify right side
    8,489.16x = 55,202,668.39
  5. Step 5: Solve for x
    x = 55,202,668.39/8,489.16
  6. Step 6: Final answer
    x = 6,502.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.