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Finding the Fourth Proportional to 7,660.47, 10,571.09 and 4,257.32

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Solution

The fourth proportional to 7,660.47, 10,571.09 and 4,257.32 is: 5,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.47 : 10,571.09 = 4,257.32 : x
  2. Step 2: Convert to fraction form
    7,660.47/10,571.09 = 4,257.32/x
  3. Step 3: Cross multiply
    7,660.47x = 10,571.09 × 4,257.32
  4. Step 4: Simplify right side
    7,660.47x = 45,004,512.88
  5. Step 5: Solve for x
    x = 45,004,512.88/7,660.47
  6. Step 6: Final answer
    x = 5,874.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.