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Finding the Fourth Proportional to 8,147.75, 11,243.90 and 4,421.75

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Solution

The fourth proportional to 8,147.75, 11,243.90 and 4,421.75 is: 6,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.75 : 11,243.90 = 4,421.75 : x
  2. Step 2: Convert to fraction form
    8,147.75/11,243.90 = 4,421.75/x
  3. Step 3: Cross multiply
    8,147.75x = 11,243.90 × 4,421.75
  4. Step 4: Simplify right side
    8,147.75x = 49,717,714.83
  5. Step 5: Solve for x
    x = 49,717,714.83/8,147.75
  6. Step 6: Final answer
    x = 6,102.02

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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.