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Finding the Fourth Proportional to 10,754.57, 16,128.97 and 2,961.53

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Solution

The fourth proportional to 10,754.57, 16,128.97 and 2,961.53 is: 4,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.57 : 16,128.97 = 2,961.53 : x
  2. Step 2: Convert to fraction form
    10,754.57/16,128.97 = 2,961.53/x
  3. Step 3: Cross multiply
    10,754.57x = 16,128.97 × 2,961.53
  4. Step 4: Simplify right side
    10,754.57x = 47,766,428.52
  5. Step 5: Solve for x
    x = 47,766,428.52/10,754.57
  6. Step 6: Final answer
    x = 4,441.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.