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Finding the Fourth Proportional to 7,906.08, 11,862.56 and 3,749

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Solution

The fourth proportional to 7,906.08, 11,862.56 and 3,749 is: 5,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.08 : 11,862.56 = 3,749 : x
  2. Step 2: Convert to fraction form
    7,906.08/11,862.56 = 3,749/x
  3. Step 3: Cross multiply
    7,906.08x = 11,862.56 × 3,749
  4. Step 4: Simplify right side
    7,906.08x = 44,472,737.44
  5. Step 5: Solve for x
    x = 44,472,737.44/7,906.08
  6. Step 6: Final answer
    x = 5,625.13

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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.