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Finding the Fourth Proportional to 10,622.80, 15,936.03 and 3,228.01

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Solution

The fourth proportional to 10,622.80, 15,936.03 and 3,228.01 is: 4,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.80 : 15,936.03 = 3,228.01 : x
  2. Step 2: Convert to fraction form
    10,622.80/15,936.03 = 3,228.01/x
  3. Step 3: Cross multiply
    10,622.80x = 15,936.03 × 3,228.01
  4. Step 4: Simplify right side
    10,622.80x = 51,441,584.52
  5. Step 5: Solve for x
    x = 51,441,584.52/10,622.80
  6. Step 6: Final answer
    x = 4,842.57

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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.