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Finding the Fourth Proportional to 7,057.16, 10,592.63 and 3,361.94

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Solution

The fourth proportional to 7,057.16, 10,592.63 and 3,361.94 is: 5,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.16 : 10,592.63 = 3,361.94 : x
  2. Step 2: Convert to fraction form
    7,057.16/10,592.63 = 3,361.94/x
  3. Step 3: Cross multiply
    7,057.16x = 10,592.63 × 3,361.94
  4. Step 4: Simplify right side
    7,057.16x = 35,611,786.50
  5. Step 5: Solve for x
    x = 35,611,786.50/7,057.16
  6. Step 6: Final answer
    x = 5,046.19

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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.