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Finding the Fourth Proportional to 7,937.28, 11,906.72 and 2,941

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Solution

The fourth proportional to 7,937.28, 11,906.72 and 2,941 is: 4,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.28 : 11,906.72 = 2,941 : x
  2. Step 2: Convert to fraction form
    7,937.28/11,906.72 = 2,941/x
  3. Step 3: Cross multiply
    7,937.28x = 11,906.72 × 2,941
  4. Step 4: Simplify right side
    7,937.28x = 35,017,663.52
  5. Step 5: Solve for x
    x = 35,017,663.52/7,937.28
  6. Step 6: Final answer
    x = 4,411.80

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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.