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Finding the Fourth Proportional to 8,217.84, 12,325.53 and 3,022.50

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Solution

The fourth proportional to 8,217.84, 12,325.53 and 3,022.50 is: 4,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.84 : 12,325.53 = 3,022.50 : x
  2. Step 2: Convert to fraction form
    8,217.84/12,325.53 = 3,022.50/x
  3. Step 3: Cross multiply
    8,217.84x = 12,325.53 × 3,022.50
  4. Step 4: Simplify right side
    8,217.84x = 37,253,914.43
  5. Step 5: Solve for x
    x = 37,253,914.43/8,217.84
  6. Step 6: Final answer
    x = 4,533.30

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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.