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Finding the Fourth Proportional to 8,109.55, 12,167.49 and 3,178.33

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Solution

The fourth proportional to 8,109.55, 12,167.49 and 3,178.33 is: 4,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.55 : 12,167.49 = 3,178.33 : x
  2. Step 2: Convert to fraction form
    8,109.55/12,167.49 = 3,178.33/x
  3. Step 3: Cross multiply
    8,109.55x = 12,167.49 × 3,178.33
  4. Step 4: Simplify right side
    8,109.55x = 38,672,298.49
  5. Step 5: Solve for x
    x = 38,672,298.49/8,109.55
  6. Step 6: Final answer
    x = 4,768.74

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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.