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Finding the Fourth Proportional to 6,814.08, 10,221.80 and 2,654.42

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Solution

The fourth proportional to 6,814.08, 10,221.80 and 2,654.42 is: 3,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.08 : 10,221.80 = 2,654.42 : x
  2. Step 2: Convert to fraction form
    6,814.08/10,221.80 = 2,654.42/x
  3. Step 3: Cross multiply
    6,814.08x = 10,221.80 × 2,654.42
  4. Step 4: Simplify right side
    6,814.08x = 27,132,885.97
  5. Step 5: Solve for x
    x = 27,132,885.97/6,814.08
  6. Step 6: Final answer
    x = 3,981.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.