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Finding the Fourth Proportional to 7,902.88, 11,857.51 and 3,517.34

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Solution

The fourth proportional to 7,902.88, 11,857.51 and 3,517.34 is: 5,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.88 : 11,857.51 = 3,517.34 : x
  2. Step 2: Convert to fraction form
    7,902.88/11,857.51 = 3,517.34/x
  3. Step 3: Cross multiply
    7,902.88x = 11,857.51 × 3,517.34
  4. Step 4: Simplify right side
    7,902.88x = 41,706,855.79
  5. Step 5: Solve for x
    x = 41,706,855.79/7,902.88
  6. Step 6: Final answer
    x = 5,277.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.