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Finding the Fourth Proportional to 7,609.12, 11,411.70 and 3,224.32

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Solution

The fourth proportional to 7,609.12, 11,411.70 and 3,224.32 is: 4,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.12 : 11,411.70 = 3,224.32 : x
  2. Step 2: Convert to fraction form
    7,609.12/11,411.70 = 3,224.32/x
  3. Step 3: Cross multiply
    7,609.12x = 11,411.70 × 3,224.32
  4. Step 4: Simplify right side
    7,609.12x = 36,794,972.54
  5. Step 5: Solve for x
    x = 36,794,972.54/7,609.12
  6. Step 6: Final answer
    x = 4,835.64

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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.