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Finding the Fourth Proportional to 11,187.63, 16,744.94 and 8,225.29

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Solution

The fourth proportional to 11,187.63, 16,744.94 and 8,225.29 is: 12,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.63 : 16,744.94 = 8,225.29 : x
  2. Step 2: Convert to fraction form
    11,187.63/16,744.94 = 8,225.29/x
  3. Step 3: Cross multiply
    11,187.63x = 16,744.94 × 8,225.29
  4. Step 4: Simplify right side
    11,187.63x = 137,731,987.53
  5. Step 5: Solve for x
    x = 137,731,987.53/11,187.63
  6. Step 6: Final answer
    x = 12,311.10

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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.