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Finding the Fourth Proportional to 8,792.90, 13,170.15 and 6,829.70

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Solution

The fourth proportional to 8,792.90, 13,170.15 and 6,829.70 is: 10,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,792.90 : 13,170.15 = 6,829.70 : x
  2. Step 2: Convert to fraction form
    8,792.90/13,170.15 = 6,829.70/x
  3. Step 3: Cross multiply
    8,792.90x = 13,170.15 × 6,829.70
  4. Step 4: Simplify right side
    8,792.90x = 89,948,173.46
  5. Step 5: Solve for x
    x = 89,948,173.46/8,792.90
  6. Step 6: Final answer
    x = 10,229.64

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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.