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Finding the Fourth Proportional to 12,167.72, 16,791.50 and 6,578.72

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Solution

The fourth proportional to 12,167.72, 16,791.50 and 6,578.72 is: 9,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.72 : 16,791.50 = 6,578.72 : x
  2. Step 2: Convert to fraction form
    12,167.72/16,791.50 = 6,578.72/x
  3. Step 3: Cross multiply
    12,167.72x = 16,791.50 × 6,578.72
  4. Step 4: Simplify right side
    12,167.72x = 110,466,572.34
  5. Step 5: Solve for x
    x = 110,466,572.34/12,167.72
  6. Step 6: Final answer
    x = 9,078.66

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