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Finding the Fourth Proportional to 12,591.37, 18,887.48 and 3,826.25

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Solution

The fourth proportional to 12,591.37, 18,887.48 and 3,826.25 is: 5,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.37 : 18,887.48 = 3,826.25 : x
  2. Step 2: Convert to fraction form
    12,591.37/18,887.48 = 3,826.25/x
  3. Step 3: Cross multiply
    12,591.37x = 18,887.48 × 3,826.25
  4. Step 4: Simplify right side
    12,591.37x = 72,268,220.35
  5. Step 5: Solve for x
    x = 72,268,220.35/12,591.37
  6. Step 6: Final answer
    x = 5,739.50

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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.