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Finding the Fourth Proportional to 7,431.26, 10,255.26 and 4,447.22

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Solution

The fourth proportional to 7,431.26, 10,255.26 and 4,447.22 is: 6,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.26 : 10,255.26 = 4,447.22 : x
  2. Step 2: Convert to fraction form
    7,431.26/10,255.26 = 4,447.22/x
  3. Step 3: Cross multiply
    7,431.26x = 10,255.26 × 4,447.22
  4. Step 4: Simplify right side
    7,431.26x = 45,607,397.38
  5. Step 5: Solve for x
    x = 45,607,397.38/7,431.26
  6. Step 6: Final answer
    x = 6,137.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.