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Finding the Fourth Proportional to 11,187.80, 16,767.30 and 8,577.80

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Solution

The fourth proportional to 11,187.80, 16,767.30 and 8,577.80 is: 12,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.80 : 16,767.30 = 8,577.80 : x
  2. Step 2: Convert to fraction form
    11,187.80/16,767.30 = 8,577.80/x
  3. Step 3: Cross multiply
    11,187.80x = 16,767.30 × 8,577.80
  4. Step 4: Simplify right side
    11,187.80x = 143,826,545.94
  5. Step 5: Solve for x
    x = 143,826,545.94/11,187.80
  6. Step 6: Final answer
    x = 12,855.66

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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.