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Finding the Fourth Proportional to 8,193.76, 12,290.72 and 2,037.76

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Solution

The fourth proportional to 8,193.76, 12,290.72 and 2,037.76 is: 3,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.76 : 12,290.72 = 2,037.76 : x
  2. Step 2: Convert to fraction form
    8,193.76/12,290.72 = 2,037.76/x
  3. Step 3: Cross multiply
    8,193.76x = 12,290.72 × 2,037.76
  4. Step 4: Simplify right side
    8,193.76x = 25,045,537.59
  5. Step 5: Solve for x
    x = 25,045,537.59/8,193.76
  6. Step 6: Final answer
    x = 3,056.66

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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.