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Finding the Fourth Proportional to 8,291.10, 11,441.70 and 4,514.21

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Solution

The fourth proportional to 8,291.10, 11,441.70 and 4,514.21 is: 6,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.10 : 11,441.70 = 4,514.21 : x
  2. Step 2: Convert to fraction form
    8,291.10/11,441.70 = 4,514.21/x
  3. Step 3: Cross multiply
    8,291.10x = 11,441.70 × 4,514.21
  4. Step 4: Simplify right side
    8,291.10x = 51,650,179.35
  5. Step 5: Solve for x
    x = 51,650,179.35/8,291.10
  6. Step 6: Final answer
    x = 6,229.59

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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.