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Finding the Fourth Proportional to 8,561.84, 12,843.58 and 3,366.50

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Solution

The fourth proportional to 8,561.84, 12,843.58 and 3,366.50 is: 5,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.84 : 12,843.58 = 3,366.50 : x
  2. Step 2: Convert to fraction form
    8,561.84/12,843.58 = 3,366.50/x
  3. Step 3: Cross multiply
    8,561.84x = 12,843.58 × 3,366.50
  4. Step 4: Simplify right side
    8,561.84x = 43,237,912.07
  5. Step 5: Solve for x
    x = 43,237,912.07/8,561.84
  6. Step 6: Final answer
    x = 5,050.07

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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.