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Finding the Fourth Proportional to 8,015.96, 12,023.94 and 5,537.24

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Solution

The fourth proportional to 8,015.96, 12,023.94 and 5,537.24 is: 8,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.96 : 12,023.94 = 5,537.24 : x
  2. Step 2: Convert to fraction form
    8,015.96/12,023.94 = 5,537.24/x
  3. Step 3: Cross multiply
    8,015.96x = 12,023.94 × 5,537.24
  4. Step 4: Simplify right side
    8,015.96x = 66,579,441.53
  5. Step 5: Solve for x
    x = 66,579,441.53/8,015.96
  6. Step 6: Final answer
    x = 8,305.86

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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.