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Finding the Fourth Proportional to 7,647.43, 11,474.39 and 4,180.63

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Solution

The fourth proportional to 7,647.43, 11,474.39 and 4,180.63 is: 6,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.43 : 11,474.39 = 4,180.63 : x
  2. Step 2: Convert to fraction form
    7,647.43/11,474.39 = 4,180.63/x
  3. Step 3: Cross multiply
    7,647.43x = 11,474.39 × 4,180.63
  4. Step 4: Simplify right side
    7,647.43x = 47,970,179.07
  5. Step 5: Solve for x
    x = 47,970,179.07/7,647.43
  6. Step 6: Final answer
    x = 6,272.72

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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.