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Finding the Fourth Proportional to 11,627.57, 17,441.36 and 5,384.17

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Solution

The fourth proportional to 11,627.57, 17,441.36 and 5,384.17 is: 8,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.57 : 17,441.36 = 5,384.17 : x
  2. Step 2: Convert to fraction form
    11,627.57/17,441.36 = 5,384.17/x
  3. Step 3: Cross multiply
    11,627.57x = 17,441.36 × 5,384.17
  4. Step 4: Simplify right side
    11,627.57x = 93,907,247.27
  5. Step 5: Solve for x
    x = 93,907,247.27/11,627.57
  6. Step 6: Final answer
    x = 8,076.26

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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.