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Finding the Fourth Proportional to 8,447.90, 12,682.17 and 7,760.21

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Solution

The fourth proportional to 8,447.90, 12,682.17 and 7,760.21 is: 11,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.90 : 12,682.17 = 7,760.21 : x
  2. Step 2: Convert to fraction form
    8,447.90/12,682.17 = 7,760.21/x
  3. Step 3: Cross multiply
    8,447.90x = 12,682.17 × 7,760.21
  4. Step 4: Simplify right side
    8,447.90x = 98,416,239.04
  5. Step 5: Solve for x
    x = 98,416,239.04/8,447.90
  6. Step 6: Final answer
    x = 11,649.79

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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.