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Finding the Fourth Proportional to 7,829.73, 10,805.81 and 4,473.09

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Solution

The fourth proportional to 7,829.73, 10,805.81 and 4,473.09 is: 6,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.73 : 10,805.81 = 4,473.09 : x
  2. Step 2: Convert to fraction form
    7,829.73/10,805.81 = 4,473.09/x
  3. Step 3: Cross multiply
    7,829.73x = 10,805.81 × 4,473.09
  4. Step 4: Simplify right side
    7,829.73x = 48,335,338.29
  5. Step 5: Solve for x
    x = 48,335,338.29/7,829.73
  6. Step 6: Final answer
    x = 6,173.31

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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.