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Finding the Fourth Proportional to 7,324.37, 10,108.25 and 4,138.25

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Solution

The fourth proportional to 7,324.37, 10,108.25 and 4,138.25 is: 5,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.37 : 10,108.25 = 4,138.25 : x
  2. Step 2: Convert to fraction form
    7,324.37/10,108.25 = 4,138.25/x
  3. Step 3: Cross multiply
    7,324.37x = 10,108.25 × 4,138.25
  4. Step 4: Simplify right side
    7,324.37x = 41,830,465.56
  5. Step 5: Solve for x
    x = 41,830,465.56/7,324.37
  6. Step 6: Final answer
    x = 5,711.13

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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.