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Finding the Fourth Proportional to 8,139.42, 12,220.42 and 4,193.50

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Solution

The fourth proportional to 8,139.42, 12,220.42 and 4,193.50 is: 6,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.42 : 12,220.42 = 4,193.50 : x
  2. Step 2: Convert to fraction form
    8,139.42/12,220.42 = 4,193.50/x
  3. Step 3: Cross multiply
    8,139.42x = 12,220.42 × 4,193.50
  4. Step 4: Simplify right side
    8,139.42x = 51,246,331.27
  5. Step 5: Solve for x
    x = 51,246,331.27/8,139.42
  6. Step 6: Final answer
    x = 6,296.07

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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.