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Finding the Fourth Proportional to 8,223.84, 12,336.03 and 3,028.50

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Solution

The fourth proportional to 8,223.84, 12,336.03 and 3,028.50 is: 4,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.84 : 12,336.03 = 3,028.50 : x
  2. Step 2: Convert to fraction form
    8,223.84/12,336.03 = 3,028.50/x
  3. Step 3: Cross multiply
    8,223.84x = 12,336.03 × 3,028.50
  4. Step 4: Simplify right side
    8,223.84x = 37,359,666.86
  5. Step 5: Solve for x
    x = 37,359,666.86/8,223.84
  6. Step 6: Final answer
    x = 4,542.85

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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.