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Finding the Fourth Proportional to 6,845.28, 10,267.98 and 2,228.28

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Solution

The fourth proportional to 6,845.28, 10,267.98 and 2,228.28 is: 3,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.28 : 10,267.98 = 2,228.28 : x
  2. Step 2: Convert to fraction form
    6,845.28/10,267.98 = 2,228.28/x
  3. Step 3: Cross multiply
    6,845.28x = 10,267.98 × 2,228.28
  4. Step 4: Simplify right side
    6,845.28x = 22,879,934.47
  5. Step 5: Solve for x
    x = 22,879,934.47/6,845.28
  6. Step 6: Final answer
    x = 3,342.44

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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.