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Finding the Fourth Proportional to 7,902.97, 10,902.09 and 7,340.12

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Solution

The fourth proportional to 7,902.97, 10,902.09 and 7,340.12 is: 10,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.97 : 10,902.09 = 7,340.12 : x
  2. Step 2: Convert to fraction form
    7,902.97/10,902.09 = 7,340.12/x
  3. Step 3: Cross multiply
    7,902.97x = 10,902.09 × 7,340.12
  4. Step 4: Simplify right side
    7,902.97x = 80,022,648.85
  5. Step 5: Solve for x
    x = 80,022,648.85/7,902.97
  6. Step 6: Final answer
    x = 10,125.65

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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.