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Finding the Fourth Proportional to 6,704.96, 10,044.64 and 3,774.40

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Solution

The fourth proportional to 6,704.96, 10,044.64 and 3,774.40 is: 5,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.96 : 10,044.64 = 3,774.40 : x
  2. Step 2: Convert to fraction form
    6,704.96/10,044.64 = 3,774.40/x
  3. Step 3: Cross multiply
    6,704.96x = 10,044.64 × 3,774.40
  4. Step 4: Simplify right side
    6,704.96x = 37,912,489.22
  5. Step 5: Solve for x
    x = 37,912,489.22/6,704.96
  6. Step 6: Final answer
    x = 5,654.39

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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.