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Finding the Fourth Proportional to 10,753, 16,127.52 and 2,960.80

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Solution

The fourth proportional to 10,753, 16,127.52 and 2,960.80 is: 4,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753 : 16,127.52 = 2,960.80 : x
  2. Step 2: Convert to fraction form
    10,753/16,127.52 = 2,960.80/x
  3. Step 3: Cross multiply
    10,753x = 16,127.52 × 2,960.80
  4. Step 4: Simplify right side
    10,753x = 47,750,361.22
  5. Step 5: Solve for x
    x = 47,750,361.22/10,753
  6. Step 6: Final answer
    x = 4,440.65

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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.