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Finding the Fourth Proportional to 8,291.21, 11,442.11 and 4,514.44

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Solution

The fourth proportional to 8,291.21, 11,442.11 and 4,514.44 is: 6,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.21 : 11,442.11 = 4,514.44 : x
  2. Step 2: Convert to fraction form
    8,291.21/11,442.11 = 4,514.44/x
  3. Step 3: Cross multiply
    8,291.21x = 11,442.11 × 4,514.44
  4. Step 4: Simplify right side
    8,291.21x = 51,654,714.74
  5. Step 5: Solve for x
    x = 51,654,714.74/8,291.21
  6. Step 6: Final answer
    x = 6,230.06

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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.