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Finding the Fourth Proportional to 7,821.69, 10,793.96 and 4,285.09

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Solution

The fourth proportional to 7,821.69, 10,793.96 and 4,285.09 is: 5,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.69 : 10,793.96 = 4,285.09 : x
  2. Step 2: Convert to fraction form
    7,821.69/10,793.96 = 4,285.09/x
  3. Step 3: Cross multiply
    7,821.69x = 10,793.96 × 4,285.09
  4. Step 4: Simplify right side
    7,821.69x = 46,253,090.06
  5. Step 5: Solve for x
    x = 46,253,090.06/7,821.69
  6. Step 6: Final answer
    x = 5,913.44

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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.