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Finding the Fourth Proportional to 10,908.53, 16,361.57 and 3,011.64

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Solution

The fourth proportional to 10,908.53, 16,361.57 and 3,011.64 is: 4,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.53 : 16,361.57 = 3,011.64 : x
  2. Step 2: Convert to fraction form
    10,908.53/16,361.57 = 3,011.64/x
  3. Step 3: Cross multiply
    10,908.53x = 16,361.57 × 3,011.64
  4. Step 4: Simplify right side
    10,908.53x = 49,275,084.40
  5. Step 5: Solve for x
    x = 49,275,084.40/10,908.53
  6. Step 6: Final answer
    x = 4,517.12

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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.