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Finding the Fourth Proportional to 8,092.53, 11,166.30 and 7,438.53

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Solution

The fourth proportional to 8,092.53, 11,166.30 and 7,438.53 is: 10,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.53 : 11,166.30 = 7,438.53 : x
  2. Step 2: Convert to fraction form
    8,092.53/11,166.30 = 7,438.53/x
  3. Step 3: Cross multiply
    8,092.53x = 11,166.30 × 7,438.53
  4. Step 4: Simplify right side
    8,092.53x = 83,060,857.54
  5. Step 5: Solve for x
    x = 83,060,857.54/8,092.53
  6. Step 6: Final answer
    x = 10,263.89

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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.