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Finding the Fourth Proportional to 8,378.24, 11,562.04 and 5,236.28

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Solution

The fourth proportional to 8,378.24, 11,562.04 and 5,236.28 is: 7,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.24 : 11,562.04 = 5,236.28 : x
  2. Step 2: Convert to fraction form
    8,378.24/11,562.04 = 5,236.28/x
  3. Step 3: Cross multiply
    8,378.24x = 11,562.04 × 5,236.28
  4. Step 4: Simplify right side
    8,378.24x = 60,542,078.81
  5. Step 5: Solve for x
    x = 60,542,078.81/8,378.24
  6. Step 6: Final answer
    x = 7,226.11

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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.