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Finding the Fourth Proportional to 8,128.72, 12,192.06 and 2,285.80

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Solution

The fourth proportional to 8,128.72, 12,192.06 and 2,285.80 is: 3,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.72 : 12,192.06 = 2,285.80 : x
  2. Step 2: Convert to fraction form
    8,128.72/12,192.06 = 2,285.80/x
  3. Step 3: Cross multiply
    8,128.72x = 12,192.06 × 2,285.80
  4. Step 4: Simplify right side
    8,128.72x = 27,868,610.75
  5. Step 5: Solve for x
    x = 27,868,610.75/8,128.72
  6. Step 6: Final answer
    x = 3,428.41

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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.