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Finding the Fourth Proportional to 8,638.66, 11,921.22 and 5,056.09

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Solution

The fourth proportional to 8,638.66, 11,921.22 and 5,056.09 is: 6,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.66 : 11,921.22 = 5,056.09 : x
  2. Step 2: Convert to fraction form
    8,638.66/11,921.22 = 5,056.09/x
  3. Step 3: Cross multiply
    8,638.66x = 11,921.22 × 5,056.09
  4. Step 4: Simplify right side
    8,638.66x = 60,274,731.43
  5. Step 5: Solve for x
    x = 60,274,731.43/8,638.66
  6. Step 6: Final answer
    x = 6,977.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.