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Finding the Fourth Proportional to 8,101.02, 12,146.50 and 3,164.86

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Solution

The fourth proportional to 8,101.02, 12,146.50 and 3,164.86 is: 4,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.02 : 12,146.50 = 3,164.86 : x
  2. Step 2: Convert to fraction form
    8,101.02/12,146.50 = 3,164.86/x
  3. Step 3: Cross multiply
    8,101.02x = 12,146.50 × 3,164.86
  4. Step 4: Simplify right side
    8,101.02x = 38,441,971.99
  5. Step 5: Solve for x
    x = 38,441,971.99/8,101.02
  6. Step 6: Final answer
    x = 4,745.32

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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.