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Finding the Fourth Proportional to 8,232.98, 11,361.53 and 4,456.16

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Solution

The fourth proportional to 8,232.98, 11,361.53 and 4,456.16 is: 6,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.98 : 11,361.53 = 4,456.16 : x
  2. Step 2: Convert to fraction form
    8,232.98/11,361.53 = 4,456.16/x
  3. Step 3: Cross multiply
    8,232.98x = 11,361.53 × 4,456.16
  4. Step 4: Simplify right side
    8,232.98x = 50,628,749.86
  5. Step 5: Solve for x
    x = 50,628,749.86/8,232.98
  6. Step 6: Final answer
    x = 6,149.50

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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.