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Finding the Fourth Proportional to 6,735.78, 10,103.92 and 3,445.02

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Solution

The fourth proportional to 6,735.78, 10,103.92 and 3,445.02 is: 5,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.78 : 10,103.92 = 3,445.02 : x
  2. Step 2: Convert to fraction form
    6,735.78/10,103.92 = 3,445.02/x
  3. Step 3: Cross multiply
    6,735.78x = 10,103.92 × 3,445.02
  4. Step 4: Simplify right side
    6,735.78x = 34,808,197.87
  5. Step 5: Solve for x
    x = 34,808,197.87/6,735.78
  6. Step 6: Final answer
    x = 5,167.66

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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.