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Finding the Fourth Proportional to 8,195.63, 12,293.45 and 2,039.63

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Solution

The fourth proportional to 8,195.63, 12,293.45 and 2,039.63 is: 3,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.63 : 12,293.45 = 2,039.63 : x
  2. Step 2: Convert to fraction form
    8,195.63/12,293.45 = 2,039.63/x
  3. Step 3: Cross multiply
    8,195.63x = 12,293.45 × 2,039.63
  4. Step 4: Simplify right side
    8,195.63x = 25,074,017.76
  5. Step 5: Solve for x
    x = 25,074,017.76/8,195.63
  6. Step 6: Final answer
    x = 3,059.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.