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Finding the Fourth Proportional to 8,532.84, 12,801.09 and 2,986.37

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Solution

The fourth proportional to 8,532.84, 12,801.09 and 2,986.37 is: 4,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.84 : 12,801.09 = 2,986.37 : x
  2. Step 2: Convert to fraction form
    8,532.84/12,801.09 = 2,986.37/x
  3. Step 3: Cross multiply
    8,532.84x = 12,801.09 × 2,986.37
  4. Step 4: Simplify right side
    8,532.84x = 38,228,791.14
  5. Step 5: Solve for x
    x = 38,228,791.14/8,532.84
  6. Step 6: Final answer
    x = 4,480.20

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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.