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Finding the Fourth Proportional to 8,201.02, 12,294.14 and 3,005.68

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Solution

The fourth proportional to 8,201.02, 12,294.14 and 3,005.68 is: 4,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.02 : 12,294.14 = 3,005.68 : x
  2. Step 2: Convert to fraction form
    8,201.02/12,294.14 = 3,005.68/x
  3. Step 3: Cross multiply
    8,201.02x = 12,294.14 × 3,005.68
  4. Step 4: Simplify right side
    8,201.02x = 36,952,250.72
  5. Step 5: Solve for x
    x = 36,952,250.72/8,201.02
  6. Step 6: Final answer
    x = 4,505.81

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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.