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Finding the Fourth Proportional to 8,418.66, 12,627.99 and 8,406.51

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Solution

The fourth proportional to 8,418.66, 12,627.99 and 8,406.51 is: 12,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.66 : 12,627.99 = 8,406.51 : x
  2. Step 2: Convert to fraction form
    8,418.66/12,627.99 = 8,406.51/x
  3. Step 3: Cross multiply
    8,418.66x = 12,627.99 × 8,406.51
  4. Step 4: Simplify right side
    8,418.66x = 106,157,324.21
  5. Step 5: Solve for x
    x = 106,157,324.21/8,418.66
  6. Step 6: Final answer
    x = 12,609.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.