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Finding the Fourth Proportional to 6,735.06, 10,103.13 and 2,352.42

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Solution

The fourth proportional to 6,735.06, 10,103.13 and 2,352.42 is: 3,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.06 : 10,103.13 = 2,352.42 : x
  2. Step 2: Convert to fraction form
    6,735.06/10,103.13 = 2,352.42/x
  3. Step 3: Cross multiply
    6,735.06x = 10,103.13 × 2,352.42
  4. Step 4: Simplify right side
    6,735.06x = 23,766,805.07
  5. Step 5: Solve for x
    x = 23,766,805.07/6,735.06
  6. Step 6: Final answer
    x = 3,528.82

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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.