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Finding the Fourth Proportional to 8,128.92, 11,214.26 and 5,742.40

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Solution

The fourth proportional to 8,128.92, 11,214.26 and 5,742.40 is: 7,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.92 : 11,214.26 = 5,742.40 : x
  2. Step 2: Convert to fraction form
    8,128.92/11,214.26 = 5,742.40/x
  3. Step 3: Cross multiply
    8,128.92x = 11,214.26 × 5,742.40
  4. Step 4: Simplify right side
    8,128.92x = 64,396,766.62
  5. Step 5: Solve for x
    x = 64,396,766.62/8,128.92
  6. Step 6: Final answer
    x = 7,921.93

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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.