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Finding the Fourth Proportional to 10,481.68, 15,722.36 and 6,096.80

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Solution

The fourth proportional to 10,481.68, 15,722.36 and 6,096.80 is: 9,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.68 : 15,722.36 = 6,096.80 : x
  2. Step 2: Convert to fraction form
    10,481.68/15,722.36 = 6,096.80/x
  3. Step 3: Cross multiply
    10,481.68x = 15,722.36 × 6,096.80
  4. Step 4: Simplify right side
    10,481.68x = 95,856,084.45
  5. Step 5: Solve for x
    x = 95,856,084.45/10,481.68
  6. Step 6: Final answer
    x = 9,145.11

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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.