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Finding the Fourth Proportional to 8,193.82, 12,290.77 and 2,037.82

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Solution

The fourth proportional to 8,193.82, 12,290.77 and 2,037.82 is: 3,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.82 : 12,290.77 = 2,037.82 : x
  2. Step 2: Convert to fraction form
    8,193.82/12,290.77 = 2,037.82/x
  3. Step 3: Cross multiply
    8,193.82x = 12,290.77 × 2,037.82
  4. Step 4: Simplify right side
    8,193.82x = 25,046,376.92
  5. Step 5: Solve for x
    x = 25,046,376.92/8,193.82
  6. Step 6: Final answer
    x = 3,056.74

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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.