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Finding the Fourth Proportional to 8,157.33, 11,262.83 and 7,205.85

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Solution

The fourth proportional to 8,157.33, 11,262.83 and 7,205.85 is: 9,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.33 : 11,262.83 = 7,205.85 : x
  2. Step 2: Convert to fraction form
    8,157.33/11,262.83 = 7,205.85/x
  3. Step 3: Cross multiply
    8,157.33x = 11,262.83 × 7,205.85
  4. Step 4: Simplify right side
    8,157.33x = 81,158,227.53
  5. Step 5: Solve for x
    x = 81,158,227.53/8,157.33
  6. Step 6: Final answer
    x = 9,949.12

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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.