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Finding the Fourth Proportional to 7,894.25, 11,838.06 and 3,508.73

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Solution

The fourth proportional to 7,894.25, 11,838.06 and 3,508.73 is: 5,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.25 : 11,838.06 = 3,508.73 : x
  2. Step 2: Convert to fraction form
    7,894.25/11,838.06 = 3,508.73/x
  3. Step 3: Cross multiply
    7,894.25x = 11,838.06 × 3,508.73
  4. Step 4: Simplify right side
    7,894.25x = 41,536,556.26
  5. Step 5: Solve for x
    x = 41,536,556.26/7,894.25
  6. Step 6: Final answer
    x = 5,261.62

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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.