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Finding the Fourth Proportional to 8,114.78, 12,167.82 and 4,164.41

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Solution

The fourth proportional to 8,114.78, 12,167.82 and 4,164.41 is: 6,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.78 : 12,167.82 = 4,164.41 : x
  2. Step 2: Convert to fraction form
    8,114.78/12,167.82 = 4,164.41/x
  3. Step 3: Cross multiply
    8,114.78x = 12,167.82 × 4,164.41
  4. Step 4: Simplify right side
    8,114.78x = 50,671,821.71
  5. Step 5: Solve for x
    x = 50,671,821.71/8,114.78
  6. Step 6: Final answer
    x = 6,244.38

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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.