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Finding the Fourth Proportional to 8,134.55, 12,201.83 and 3,201.50

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Solution

The fourth proportional to 8,134.55, 12,201.83 and 3,201.50 is: 4,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.55 : 12,201.83 = 3,201.50 : x
  2. Step 2: Convert to fraction form
    8,134.55/12,201.83 = 3,201.50/x
  3. Step 3: Cross multiply
    8,134.55x = 12,201.83 × 3,201.50
  4. Step 4: Simplify right side
    8,134.55x = 39,064,081.73
  5. Step 5: Solve for x
    x = 39,064,081.73/8,134.55
  6. Step 6: Final answer
    x = 4,802.25

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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.