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Finding the Fourth Proportional to 7,828.52, 11,734.52 and 3,449.03

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Solution

The fourth proportional to 7,828.52, 11,734.52 and 3,449.03 is: 5,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.52 : 11,734.52 = 3,449.03 : x
  2. Step 2: Convert to fraction form
    7,828.52/11,734.52 = 3,449.03/x
  3. Step 3: Cross multiply
    7,828.52x = 11,734.52 × 3,449.03
  4. Step 4: Simplify right side
    7,828.52x = 40,472,635.60
  5. Step 5: Solve for x
    x = 40,472,635.60/7,828.52
  6. Step 6: Final answer
    x = 5,169.90

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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.