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Finding the Fourth Proportional to 7,467.84, 11,201.12 and 2,536.96

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Solution

The fourth proportional to 7,467.84, 11,201.12 and 2,536.96 is: 3,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.84 : 11,201.12 = 2,536.96 : x
  2. Step 2: Convert to fraction form
    7,467.84/11,201.12 = 2,536.96/x
  3. Step 3: Cross multiply
    7,467.84x = 11,201.12 × 2,536.96
  4. Step 4: Simplify right side
    7,467.84x = 28,416,793.40
  5. Step 5: Solve for x
    x = 28,416,793.40/7,467.84
  6. Step 6: Final answer
    x = 3,805.22

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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.