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Finding the Fourth Proportional to 7,838.46, 10,817.28 and 4,481.82

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Solution

The fourth proportional to 7,838.46, 10,817.28 and 4,481.82 is: 6,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.46 : 10,817.28 = 4,481.82 : x
  2. Step 2: Convert to fraction form
    7,838.46/10,817.28 = 4,481.82/x
  3. Step 3: Cross multiply
    7,838.46x = 10,817.28 × 4,481.82
  4. Step 4: Simplify right side
    7,838.46x = 48,481,101.85
  5. Step 5: Solve for x
    x = 48,481,101.85/7,838.46
  6. Step 6: Final answer
    x = 6,185.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.