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Finding the Fourth Proportional to 7,906.45, 11,863.52 and 3,741.50

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Solution

The fourth proportional to 7,906.45, 11,863.52 and 3,741.50 is: 5,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.45 : 11,863.52 = 3,741.50 : x
  2. Step 2: Convert to fraction form
    7,906.45/11,863.52 = 3,741.50/x
  3. Step 3: Cross multiply
    7,906.45x = 11,863.52 × 3,741.50
  4. Step 4: Simplify right side
    7,906.45x = 44,387,360.08
  5. Step 5: Solve for x
    x = 44,387,360.08/7,906.45
  6. Step 6: Final answer
    x = 5,614.07

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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.