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Finding the Fourth Proportional to 10,756.44, 16,128.30 and 3,257.76

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Solution

The fourth proportional to 10,756.44, 16,128.30 and 3,257.76 is: 4,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.44 : 16,128.30 = 3,257.76 : x
  2. Step 2: Convert to fraction form
    10,756.44/16,128.30 = 3,257.76/x
  3. Step 3: Cross multiply
    10,756.44x = 16,128.30 × 3,257.76
  4. Step 4: Simplify right side
    10,756.44x = 52,542,130.61
  5. Step 5: Solve for x
    x = 52,542,130.61/10,756.44
  6. Step 6: Final answer
    x = 4,884.71

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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.