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Finding the Fourth Proportional to 6,730.96, 10,096.45 and 2,113.96

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Solution

The fourth proportional to 6,730.96, 10,096.45 and 2,113.96 is: 3,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.96 : 10,096.45 = 2,113.96 : x
  2. Step 2: Convert to fraction form
    6,730.96/10,096.45 = 2,113.96/x
  3. Step 3: Cross multiply
    6,730.96x = 10,096.45 × 2,113.96
  4. Step 4: Simplify right side
    6,730.96x = 21,343,480.87
  5. Step 5: Solve for x
    x = 21,343,480.87/6,730.96
  6. Step 6: Final answer
    x = 3,170.94

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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.