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Finding the Fourth Proportional to 8,128.75, 12,193.80 and 2,285.41

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Solution

The fourth proportional to 8,128.75, 12,193.80 and 2,285.41 is: 3,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.75 : 12,193.80 = 2,285.41 : x
  2. Step 2: Convert to fraction form
    8,128.75/12,193.80 = 2,285.41/x
  3. Step 3: Cross multiply
    8,128.75x = 12,193.80 × 2,285.41
  4. Step 4: Simplify right side
    8,128.75x = 27,867,832.46
  5. Step 5: Solve for x
    x = 27,867,832.46/8,128.75
  6. Step 6: Final answer
    x = 3,428.30

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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.