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Finding the Fourth Proportional to 11,188.30, 16,745.92 and 8,225.96

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Solution

The fourth proportional to 11,188.30, 16,745.92 and 8,225.96 is: 12,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.30 : 16,745.92 = 8,225.96 : x
  2. Step 2: Convert to fraction form
    11,188.30/16,745.92 = 8,225.96/x
  3. Step 3: Cross multiply
    11,188.30x = 16,745.92 × 8,225.96
  4. Step 4: Simplify right side
    11,188.30x = 137,751,268.08
  5. Step 5: Solve for x
    x = 137,751,268.08/11,188.30
  6. Step 6: Final answer
    x = 12,312.08

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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.