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Finding the Fourth Proportional to 7,096.50, 10,644.18 and 2,166.12

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Solution

The fourth proportional to 7,096.50, 10,644.18 and 2,166.12 is: 3,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.50 : 10,644.18 = 2,166.12 : x
  2. Step 2: Convert to fraction form
    7,096.50/10,644.18 = 2,166.12/x
  3. Step 3: Cross multiply
    7,096.50x = 10,644.18 × 2,166.12
  4. Step 4: Simplify right side
    7,096.50x = 23,056,571.18
  5. Step 5: Solve for x
    x = 23,056,571.18/7,096.50
  6. Step 6: Final answer
    x = 3,249.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.