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Finding the Fourth Proportional to 8,522.96, 12,780.12 and 3,902

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Solution

The fourth proportional to 8,522.96, 12,780.12 and 3,902 is: 5,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.96 : 12,780.12 = 3,902 : x
  2. Step 2: Convert to fraction form
    8,522.96/12,780.12 = 3,902/x
  3. Step 3: Cross multiply
    8,522.96x = 12,780.12 × 3,902
  4. Step 4: Simplify right side
    8,522.96x = 49,868,028.24
  5. Step 5: Solve for x
    x = 49,868,028.24/8,522.96
  6. Step 6: Final answer
    x = 5,851.02

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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.