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Finding the Fourth Proportional to 7,449.34, 11,171.06 and 3,286.40

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Solution

The fourth proportional to 7,449.34, 11,171.06 and 3,286.40 is: 4,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.34 : 11,171.06 = 3,286.40 : x
  2. Step 2: Convert to fraction form
    7,449.34/11,171.06 = 3,286.40/x
  3. Step 3: Cross multiply
    7,449.34x = 11,171.06 × 3,286.40
  4. Step 4: Simplify right side
    7,449.34x = 36,712,571.58
  5. Step 5: Solve for x
    x = 36,712,571.58/7,449.34
  6. Step 6: Final answer
    x = 4,928.30

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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.