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Finding the Fourth Proportional to 8,106.37, 12,165.02 and 3,175.39

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Solution

The fourth proportional to 8,106.37, 12,165.02 and 3,175.39 is: 4,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.37 : 12,165.02 = 3,175.39 : x
  2. Step 2: Convert to fraction form
    8,106.37/12,165.02 = 3,175.39/x
  3. Step 3: Cross multiply
    8,106.37x = 12,165.02 × 3,175.39
  4. Step 4: Simplify right side
    8,106.37x = 38,628,682.86
  5. Step 5: Solve for x
    x = 38,628,682.86/8,106.37
  6. Step 6: Final answer
    x = 4,765.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.