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Finding the Fourth Proportional to 8,207.82, 12,320.28 and 3,829.50

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Solution

The fourth proportional to 8,207.82, 12,320.28 and 3,829.50 is: 5,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.82 : 12,320.28 = 3,829.50 : x
  2. Step 2: Convert to fraction form
    8,207.82/12,320.28 = 3,829.50/x
  3. Step 3: Cross multiply
    8,207.82x = 12,320.28 × 3,829.50
  4. Step 4: Simplify right side
    8,207.82x = 47,180,512.26
  5. Step 5: Solve for x
    x = 47,180,512.26/8,207.82
  6. Step 6: Final answer
    x = 5,748.24

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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.