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Finding the Fourth Proportional to 10,797.61, 16,186.70 and 3,867.25

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Solution

The fourth proportional to 10,797.61, 16,186.70 and 3,867.25 is: 5,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.61 : 16,186.70 = 3,867.25 : x
  2. Step 2: Convert to fraction form
    10,797.61/16,186.70 = 3,867.25/x
  3. Step 3: Cross multiply
    10,797.61x = 16,186.70 × 3,867.25
  4. Step 4: Simplify right side
    10,797.61x = 62,597,996.24
  5. Step 5: Solve for x
    x = 62,597,996.24/10,797.61
  6. Step 6: Final answer
    x = 5,797.39

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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.