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Finding the Fourth Proportional to 11,627.46, 17,436.83 and 4,230.09

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Solution

The fourth proportional to 11,627.46, 17,436.83 and 4,230.09 is: 6,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.46 : 17,436.83 = 4,230.09 : x
  2. Step 2: Convert to fraction form
    11,627.46/17,436.83 = 4,230.09/x
  3. Step 3: Cross multiply
    11,627.46x = 17,436.83 × 4,230.09
  4. Step 4: Simplify right side
    11,627.46x = 73,759,339.06
  5. Step 5: Solve for x
    x = 73,759,339.06/11,627.46
  6. Step 6: Final answer
    x = 6,343.55

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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.