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Finding the Fourth Proportional to 11,023.52, 16,535.04 and 5,175.96

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Solution

The fourth proportional to 11,023.52, 16,535.04 and 5,175.96 is: 7,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.52 : 16,535.04 = 5,175.96 : x
  2. Step 2: Convert to fraction form
    11,023.52/16,535.04 = 5,175.96/x
  3. Step 3: Cross multiply
    11,023.52x = 16,535.04 × 5,175.96
  4. Step 4: Simplify right side
    11,023.52x = 85,584,705.64
  5. Step 5: Solve for x
    x = 85,584,705.64/11,023.52
  6. Step 6: Final answer
    x = 7,763.83

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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.