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Finding the Fourth Proportional to 10,431.60, 15,647.41 and 2,640.41

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Solution

The fourth proportional to 10,431.60, 15,647.41 and 2,640.41 is: 3,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.60 : 15,647.41 = 2,640.41 : x
  2. Step 2: Convert to fraction form
    10,431.60/15,647.41 = 2,640.41/x
  3. Step 3: Cross multiply
    10,431.60x = 15,647.41 × 2,640.41
  4. Step 4: Simplify right side
    10,431.60x = 41,315,525.52
  5. Step 5: Solve for x
    x = 41,315,525.52/10,431.60
  6. Step 6: Final answer
    x = 3,960.61

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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.