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Finding the Fourth Proportional to 7,834.57, 11,744.36 and 2,902.88

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Solution

The fourth proportional to 7,834.57, 11,744.36 and 2,902.88 is: 4,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.57 : 11,744.36 = 2,902.88 : x
  2. Step 2: Convert to fraction form
    7,834.57/11,744.36 = 2,902.88/x
  3. Step 3: Cross multiply
    7,834.57x = 11,744.36 × 2,902.88
  4. Step 4: Simplify right side
    7,834.57x = 34,092,493.49
  5. Step 5: Solve for x
    x = 34,092,493.49/7,834.57
  6. Step 6: Final answer
    x = 4,351.55

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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.