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Finding the Fourth Proportional to 11,188.52, 16,782.22 and 3,397.96

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Solution

The fourth proportional to 11,188.52, 16,782.22 and 3,397.96 is: 5,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.52 : 16,782.22 = 3,397.96 : x
  2. Step 2: Convert to fraction form
    11,188.52/16,782.22 = 3,397.96/x
  3. Step 3: Cross multiply
    11,188.52x = 16,782.22 × 3,397.96
  4. Step 4: Simplify right side
    11,188.52x = 57,025,312.27
  5. Step 5: Solve for x
    x = 57,025,312.27/11,188.52
  6. Step 6: Final answer
    x = 5,096.77

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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.