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Finding the Fourth Proportional to 10,950.26, 16,425.42 and 2,742.26

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Solution

The fourth proportional to 10,950.26, 16,425.42 and 2,742.26 is: 4,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.26 : 16,425.42 = 2,742.26 : x
  2. Step 2: Convert to fraction form
    10,950.26/16,425.42 = 2,742.26/x
  3. Step 3: Cross multiply
    10,950.26x = 16,425.42 × 2,742.26
  4. Step 4: Simplify right side
    10,950.26x = 45,042,772.25
  5. Step 5: Solve for x
    x = 45,042,772.25/10,950.26
  6. Step 6: Final answer
    x = 4,113.40

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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.