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Finding the Fourth Proportional to 8,426.78, 12,638.58 and 3,161.58

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Solution

The fourth proportional to 8,426.78, 12,638.58 and 3,161.58 is: 4,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.78 : 12,638.58 = 3,161.58 : x
  2. Step 2: Convert to fraction form
    8,426.78/12,638.58 = 3,161.58/x
  3. Step 3: Cross multiply
    8,426.78x = 12,638.58 × 3,161.58
  4. Step 4: Simplify right side
    8,426.78x = 39,957,911.38
  5. Step 5: Solve for x
    x = 39,957,911.38/8,426.78
  6. Step 6: Final answer
    x = 4,741.77

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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.