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Finding the Fourth Proportional to 8,145.39, 12,220.40 and 4,199.54

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Solution

The fourth proportional to 8,145.39, 12,220.40 and 4,199.54 is: 6,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.39 : 12,220.40 = 4,199.54 : x
  2. Step 2: Convert to fraction form
    8,145.39/12,220.40 = 4,199.54/x
  3. Step 3: Cross multiply
    8,145.39x = 12,220.40 × 4,199.54
  4. Step 4: Simplify right side
    8,145.39x = 51,320,058.62
  5. Step 5: Solve for x
    x = 51,320,058.62/8,145.39
  6. Step 6: Final answer
    x = 6,300.50

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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.