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Finding the Fourth Proportional to 8,129.62, 11,220.69 and 4,942.24

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Solution

The fourth proportional to 8,129.62, 11,220.69 and 4,942.24 is: 6,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.62 : 11,220.69 = 4,942.24 : x
  2. Step 2: Convert to fraction form
    8,129.62/11,220.69 = 4,942.24/x
  3. Step 3: Cross multiply
    8,129.62x = 11,220.69 × 4,942.24
  4. Step 4: Simplify right side
    8,129.62x = 55,455,383.58
  5. Step 5: Solve for x
    x = 55,455,383.58/8,129.62
  6. Step 6: Final answer
    x = 6,821.40

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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.