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Finding the Fourth Proportional to 8,128.57, 12,193.33 and 2,285.64

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Solution

The fourth proportional to 8,128.57, 12,193.33 and 2,285.64 is: 3,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.57 : 12,193.33 = 2,285.64 : x
  2. Step 2: Convert to fraction form
    8,128.57/12,193.33 = 2,285.64/x
  3. Step 3: Cross multiply
    8,128.57x = 12,193.33 × 2,285.64
  4. Step 4: Simplify right side
    8,128.57x = 27,869,562.78
  5. Step 5: Solve for x
    x = 27,869,562.78/8,128.57
  6. Step 6: Final answer
    x = 3,428.59

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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.