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Finding the Fourth Proportional to 7,186.37, 9,915.68 and 4,201.61

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Solution

The fourth proportional to 7,186.37, 9,915.68 and 4,201.61 is: 5,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.37 : 9,915.68 = 4,201.61 : x
  2. Step 2: Convert to fraction form
    7,186.37/9,915.68 = 4,201.61/x
  3. Step 3: Cross multiply
    7,186.37x = 9,915.68 × 4,201.61
  4. Step 4: Simplify right side
    7,186.37x = 41,661,781.17
  5. Step 5: Solve for x
    x = 41,661,781.17/7,186.37
  6. Step 6: Final answer
    x = 5,797.34

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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.