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Finding the Fourth Proportional to 8,128.14, 12,190.99 and 3,129.22

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Solution

The fourth proportional to 8,128.14, 12,190.99 and 3,129.22 is: 4,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.14 : 12,190.99 = 3,129.22 : x
  2. Step 2: Convert to fraction form
    8,128.14/12,190.99 = 3,129.22/x
  3. Step 3: Cross multiply
    8,128.14x = 12,190.99 × 3,129.22
  4. Step 4: Simplify right side
    8,128.14x = 38,148,289.73
  5. Step 5: Solve for x
    x = 38,148,289.73/8,128.14
  6. Step 6: Final answer
    x = 4,693.36

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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.