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Finding the Fourth Proportional to 7,922.72, 11,891.28 and 4,228.10

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Solution

The fourth proportional to 7,922.72, 11,891.28 and 4,228.10 is: 6,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.72 : 11,891.28 = 4,228.10 : x
  2. Step 2: Convert to fraction form
    7,922.72/11,891.28 = 4,228.10/x
  3. Step 3: Cross multiply
    7,922.72x = 11,891.28 × 4,228.10
  4. Step 4: Simplify right side
    7,922.72x = 50,277,520.97
  5. Step 5: Solve for x
    x = 50,277,520.97/7,922.72
  6. Step 6: Final answer
    x = 6,345.99

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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.