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Finding the Fourth Proportional to 8,161.60, 11,229.60 and 7,643.20

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Solution

The fourth proportional to 8,161.60, 11,229.60 and 7,643.20 is: 10,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.60 : 11,229.60 = 7,643.20 : x
  2. Step 2: Convert to fraction form
    8,161.60/11,229.60 = 7,643.20/x
  3. Step 3: Cross multiply
    8,161.60x = 11,229.60 × 7,643.20
  4. Step 4: Simplify right side
    8,161.60x = 85,830,078.72
  5. Step 5: Solve for x
    x = 85,830,078.72/8,161.60
  6. Step 6: Final answer
    x = 10,516.33

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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.