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Finding the Fourth Proportional to 8,194.94, 12,293.19 and 3,263.42

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Solution

The fourth proportional to 8,194.94, 12,293.19 and 3,263.42 is: 4,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.94 : 12,293.19 = 3,263.42 : x
  2. Step 2: Convert to fraction form
    8,194.94/12,293.19 = 3,263.42/x
  3. Step 3: Cross multiply
    8,194.94x = 12,293.19 × 3,263.42
  4. Step 4: Simplify right side
    8,194.94x = 40,117,780.64
  5. Step 5: Solve for x
    x = 40,117,780.64/8,194.94
  6. Step 6: Final answer
    x = 4,895.44

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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.