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Finding the Fourth Proportional to 10,494.50, 15,738.05 and 3,096.98

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Solution

The fourth proportional to 10,494.50, 15,738.05 and 3,096.98 is: 4,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.50 : 15,738.05 = 3,096.98 : x
  2. Step 2: Convert to fraction form
    10,494.50/15,738.05 = 3,096.98/x
  3. Step 3: Cross multiply
    10,494.50x = 15,738.05 × 3,096.98
  4. Step 4: Simplify right side
    10,494.50x = 48,740,461.56
  5. Step 5: Solve for x
    x = 48,740,461.56/10,494.50
  6. Step 6: Final answer
    x = 4,644.38

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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.