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Finding the Fourth Proportional to 7,467.32, 11,199.54 and 2,849.24

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Solution

The fourth proportional to 7,467.32, 11,199.54 and 2,849.24 is: 4,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.32 : 11,199.54 = 2,849.24 : x
  2. Step 2: Convert to fraction form
    7,467.32/11,199.54 = 2,849.24/x
  3. Step 3: Cross multiply
    7,467.32x = 11,199.54 × 2,849.24
  4. Step 4: Simplify right side
    7,467.32x = 31,910,177.35
  5. Step 5: Solve for x
    x = 31,910,177.35/7,467.32
  6. Step 6: Final answer
    x = 4,273.31

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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.