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Finding the Fourth Proportional to 8,265.33, 11,372.37 and 7,142.67

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Solution

The fourth proportional to 8,265.33, 11,372.37 and 7,142.67 is: 9,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.33 : 11,372.37 = 7,142.67 : x
  2. Step 2: Convert to fraction form
    8,265.33/11,372.37 = 7,142.67/x
  3. Step 3: Cross multiply
    8,265.33x = 11,372.37 × 7,142.67
  4. Step 4: Simplify right side
    8,265.33x = 81,229,059.24
  5. Step 5: Solve for x
    x = 81,229,059.24/8,265.33
  6. Step 6: Final answer
    x = 9,827.68

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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.