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Finding the Fourth Proportional to 10,078.73, 15,107.31 and 6,382.09

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Solution

The fourth proportional to 10,078.73, 15,107.31 and 6,382.09 is: 9,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.73 : 15,107.31 = 6,382.09 : x
  2. Step 2: Convert to fraction form
    10,078.73/15,107.31 = 6,382.09/x
  3. Step 3: Cross multiply
    10,078.73x = 15,107.31 × 6,382.09
  4. Step 4: Simplify right side
    10,078.73x = 96,416,230.96
  5. Step 5: Solve for x
    x = 96,416,230.96/10,078.73
  6. Step 6: Final answer
    x = 9,566.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.