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Finding the Fourth Proportional to 10,797.50, 16,189.88 and 4,216.05

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Solution

The fourth proportional to 10,797.50, 16,189.88 and 4,216.05 is: 6,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.50 : 16,189.88 = 4,216.05 : x
  2. Step 2: Convert to fraction form
    10,797.50/16,189.88 = 4,216.05/x
  3. Step 3: Cross multiply
    10,797.50x = 16,189.88 × 4,216.05
  4. Step 4: Simplify right side
    10,797.50x = 68,257,322.49
  5. Step 5: Solve for x
    x = 68,257,322.49/10,797.50
  6. Step 6: Final answer
    x = 6,321.58

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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.