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Finding the Fourth Proportional to 8,237.82, 11,373.43 and 5,410.21

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Solution

The fourth proportional to 8,237.82, 11,373.43 and 5,410.21 is: 7,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.82 : 11,373.43 = 5,410.21 : x
  2. Step 2: Convert to fraction form
    8,237.82/11,373.43 = 5,410.21/x
  3. Step 3: Cross multiply
    8,237.82x = 11,373.43 × 5,410.21
  4. Step 4: Simplify right side
    8,237.82x = 61,532,644.72
  5. Step 5: Solve for x
    x = 61,532,644.72/8,237.82
  6. Step 6: Final answer
    x = 7,469.53

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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.