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Finding the Fourth Proportional to 8,128.92, 11,214.06 and 5,149.20

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Solution

The fourth proportional to 8,128.92, 11,214.06 and 5,149.20 is: 7,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.92 : 11,214.06 = 5,149.20 : x
  2. Step 2: Convert to fraction form
    8,128.92/11,214.06 = 5,149.20/x
  3. Step 3: Cross multiply
    8,128.92x = 11,214.06 × 5,149.20
  4. Step 4: Simplify right side
    8,128.92x = 57,743,437.75
  5. Step 5: Solve for x
    x = 57,743,437.75/8,128.92
  6. Step 6: Final answer
    x = 7,103.46

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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.