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Finding the Fourth Proportional to 12,128.82, 16,735.26 and 7,092.09

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Solution

The fourth proportional to 12,128.82, 16,735.26 and 7,092.09 is: 9,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.82 : 16,735.26 = 7,092.09 : x
  2. Step 2: Convert to fraction form
    12,128.82/16,735.26 = 7,092.09/x
  3. Step 3: Cross multiply
    12,128.82x = 16,735.26 × 7,092.09
  4. Step 4: Simplify right side
    12,128.82x = 118,687,970.09
  5. Step 5: Solve for x
    x = 118,687,970.09/12,128.82
  6. Step 6: Final answer
    x = 9,785.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.