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Finding the Fourth Proportional to 8,086.88, 12,133.33 and 3,643.21

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Solution

The fourth proportional to 8,086.88, 12,133.33 and 3,643.21 is: 5,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.88 : 12,133.33 = 3,643.21 : x
  2. Step 2: Convert to fraction form
    8,086.88/12,133.33 = 3,643.21/x
  3. Step 3: Cross multiply
    8,086.88x = 12,133.33 × 3,643.21
  4. Step 4: Simplify right side
    8,086.88x = 44,204,253.50
  5. Step 5: Solve for x
    x = 44,204,253.50/8,086.88
  6. Step 6: Final answer
    x = 5,466.17

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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.