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Finding the Fourth Proportional to 10,706.26, 16,053.54 and 5,963.86

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Solution

The fourth proportional to 10,706.26, 16,053.54 and 5,963.86 is: 8,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.26 : 16,053.54 = 5,963.86 : x
  2. Step 2: Convert to fraction form
    10,706.26/16,053.54 = 5,963.86/x
  3. Step 3: Cross multiply
    10,706.26x = 16,053.54 × 5,963.86
  4. Step 4: Simplify right side
    10,706.26x = 95,741,065.06
  5. Step 5: Solve for x
    x = 95,741,065.06/10,706.26
  6. Step 6: Final answer
    x = 8,942.53

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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.