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Finding the Fourth Proportional to 8,078.96, 11,141.43 and 5,243.30

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Solution

The fourth proportional to 8,078.96, 11,141.43 and 5,243.30 is: 7,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.96 : 11,141.43 = 5,243.30 : x
  2. Step 2: Convert to fraction form
    8,078.96/11,141.43 = 5,243.30/x
  3. Step 3: Cross multiply
    8,078.96x = 11,141.43 × 5,243.30
  4. Step 4: Simplify right side
    8,078.96x = 58,417,804.21
  5. Step 5: Solve for x
    x = 58,417,804.21/8,078.96
  6. Step 6: Final answer
    x = 7,230.86

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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.