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Finding the Fourth Proportional to 8,139.87, 12,201.60 and 3,207.60

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Solution

The fourth proportional to 8,139.87, 12,201.60 and 3,207.60 is: 4,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.87 : 12,201.60 = 3,207.60 : x
  2. Step 2: Convert to fraction form
    8,139.87/12,201.60 = 3,207.60/x
  3. Step 3: Cross multiply
    8,139.87x = 12,201.60 × 3,207.60
  4. Step 4: Simplify right side
    8,139.87x = 39,137,852.16
  5. Step 5: Solve for x
    x = 39,137,852.16/8,139.87
  6. Step 6: Final answer
    x = 4,808.17

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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.