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Finding the Fourth Proportional to 8,185.01, 12,277.37 and 2,029.01

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Solution

The fourth proportional to 8,185.01, 12,277.37 and 2,029.01 is: 3,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.01 : 12,277.37 = 2,029.01 : x
  2. Step 2: Convert to fraction form
    8,185.01/12,277.37 = 2,029.01/x
  3. Step 3: Cross multiply
    8,185.01x = 12,277.37 × 2,029.01
  4. Step 4: Simplify right side
    8,185.01x = 24,910,850.19
  5. Step 5: Solve for x
    x = 24,910,850.19/8,185.01
  6. Step 6: Final answer
    x = 3,043.47

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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.